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Finding the Fourth Proportional to 543,838,233.60, 815,757,350.40 and 469,861,646.40

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Solution

The fourth proportional to 543,838,233.60, 815,757,350.40 and 469,861,646.40 is: 704,792,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838,233.60 : 815,757,350.40 = 469,861,646.40 : x
  2. Step 2: Convert to fraction form
    543,838,233.60/815,757,350.40 = 469,861,646.40/x
  3. Step 3: Cross multiply
    543,838,233.60x = 815,757,350.40 × 469,861,646.40
  4. Step 4: Simplify right side
    543,838,233.60x = 383,293,091,721,845,696
  5. Step 5: Solve for x
    x = 383,293,091,721,845,696/543,838,233.60
  6. Step 6: Final answer
    x = 704,792,469.60

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Why These Related Problems?

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