With the scores tied at 9-9 in the bottom off the ninth, Adelaide had runners on first and second when pinch hitter Josh Cakebread fake bunted before driving the ball into right field to score the winning run.
The series finale had snippets of each of the previous three games, as the Bite launched yet another comeback with some explosive offence before claiming a second walk off win of the four-game series.
Melbourne had taken a 4-0 first-inning lead, on the back of a double by Josh Davies and some control issues for Bite starter Dushan Ruzic as he walked an Aces batter and hit another with a pitch.
But just as they did on Friday night, the Bite launched a comeback, using another offensive flurry to build a strong lead.
After scoring a run in the second on a bases-loaded walk, the Bite added seven runs in the third as they forced the early removal of the Aces' former Major Leaguer Shane Lindsay.
The highlight was a three-run home run to Angus Roeger, his league-leading seventh of the season, as the home side took an 8-1 lead.
Bite starter Dushan Ruzic was pulled from the game after five innings, and his removal saw the Aces launch a comeback as they added four-runs in the sixth off reliever Rinku Singh before levelling the game with another run in the seventh.
However, Bite reliever Richard Olson kept the Aces quiet after that, allowing only one hit in two innings, to give Adelaide a simple equation in the bottom of the ninth. Score and win.
And that they did courtesy of Roeger being hit by a pitch to leadoff the inning, and Adamson being walked, before Cakebread's RBI-double sparked wild celebrations.
It capped off an incredible weekend for the Bite, who came into the weekend languishing on the bottom of the ABL ladder without a series victory.
Adelaide improved their record to 8-10 before a road trip to Brisbane next weekend, while the Aces slump to the bottom of the ladder.