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Finding the Fourth Proportional to 757,795,813.80, 1,136,693,720.70 and 431,278,463.40

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Solution

The fourth proportional to 757,795,813.80, 1,136,693,720.70 and 431,278,463.40 is: 646,917,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,795,813.80 : 1,136,693,720.70 = 431,278,463.40 : x
  2. Step 2: Convert to fraction form
    757,795,813.80/1,136,693,720.70 = 431,278,463.40/x
  3. Step 3: Cross multiply
    757,795,813.80x = 1,136,693,720.70 × 431,278,463.40
  4. Step 4: Simplify right side
    757,795,813.80x = 490,231,521,219,924,736
  5. Step 5: Solve for x
    x = 490,231,521,219,924,736/757,795,813.80
  6. Step 6: Final answer
    x = 646,917,695.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.