India racked up 518-5 before declaring their first innings and returned to reduce West Indies to 26-1 at tea to tighten their grip over the second and final test between the sides on Saturday.
Opener Yashasvi Jaiswal (175) fell short of a double hundred but there was no respite for West Indies as India captain Shubman Gill made 129 not out to keep the hosts on course for a 2-0 series sweep.
West Indies lost opener John Campbell (10) early in their reply courtesy of B Sai Sudharsan's remarkable reflex catch at forward short leg.
Campbell played a full-blooded sweep shot to a Ravindra Jadeja delivery and the ball hit the grill of Sudharsan's helmet as the fielder was trying to evade the ball before lodging into his cupped hands.
Tagenarine Chanderpaul (13) and Alick Athanaze (two) were in the middle with West Indies still 492 behind.
Earlier, when India resumed on 318-2, the crowd at the Arun Jaitley Stadium was left disappointed as Jaiswal added two runs to his overnight score before being run out after an almighty mix-up with Gill.
Promoted to number five, Nitish Kumar Reddy made a brisk 44, while Dhruv Jurel scored 43 as India surged past the 500-mark.
Gill duly brought up his 10th test hundred, the fifth this year, before declaring the innings immediately after Jurel was clean bowled by West Indies captain Roston Chase.
Sanju Samson has struggled for form since being named Player of the Tournament at the T20 World Cup but the wicketkeeper-batter looked more like his old self on Saturday with an unbeaten 115 off 56 balls in Chennai's 23-run win over Delhi Capitals.
Rory McIlroy discovered again on Saturday that nothing at the Masters is secure as the defending champion's overnight six-shot advantage vanished in the Georgia heat and Cameron Young charged into a share of the lead at 11-under after the third round.
Belgium knocked out 18-times champions the US to qualify for the Billie Jean King Cup Finals on Saturday, as Britain, Italy, Kazakhstan, Spain, Ukraine and Czech Republic also secured places in the season-ending team event alongside hosts China.
Liverpool's teenage winger Rio Ngumoha has become the club's youngest player to score a Premier League goal at Anfield on Saturday before Mohamed Salah struck four minutes later in a 2-0 win over Fulham that boosted their quest for a top-five finish.
Britain's former heavyweight world champion, Tyson Fury, has outclassed Russia's Arslanbek Makhmudov en route to a comprehensive points win on Saturday and then called for a showdown with compatriot Anthony Joshua.