Finding the Fourth Proportional to 746,175,120.48, 1,029,723,454.08 and 416,171,517.12
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Solution
The fourth proportional to 746,175,120.48, 1,029,723,454.08 and 416,171,517.12 is: 574,317,690.76
Step by Step Solution
- Step 1: Write the proportion equation
746,175,120.48 : 1,029,723,454.08 = 416,171,517.12 : x - Step 2: Convert to fraction form
746,175,120.48/1,029,723,454.08 = 416,171,517.12/x - Step 3: Cross multiply
746,175,120.48x = 1,029,723,454.08 × 416,171,517.12 - Step 4: Simplify right side
746,175,120.48x = 428,541,572,098,520,256 - Step 5: Solve for x
x = 428,541,572,098,520,256/746,175,120.48 - Step 6: Final answer
x = 574,317,690.76
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.