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A hall is kick from the ground 6.4 meters into the air. The ball falls, rebounds to 60% of its previous height, and falls again.

  1. A hall is kick from the ground 6.4 meters into the air. The ball falls, rebounds to 60% of its previous height, and falls again. If the ball continues to rebound and fall in this manner, find the total distance the ball travels until it hits the ground for the 5th time (Assume the ball bounces vertically with no curvature in its path).

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