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Finding the Fourth Proportional to 729,919,653.50, 1,007,268,304.70 and 428,500,118.12

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Solution

The fourth proportional to 729,919,653.50, 1,007,268,304.70 and 428,500,118.12 is: 591,317,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,919,653.50 : 1,007,268,304.70 = 428,500,118.12 : x
  2. Step 2: Convert to fraction form
    729,919,653.50/1,007,268,304.70 = 428,500,118.12/x
  3. Step 3: Cross multiply
    729,919,653.50x = 1,007,268,304.70 × 428,500,118.12
  4. Step 4: Simplify right side
    729,919,653.50x = 431,614,587,540,339,648
  5. Step 5: Solve for x
    x = 431,614,587,540,339,648/729,919,653.50
  6. Step 6: Final answer
    x = 591,317,942.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.