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Finding the Fourth Proportional to 872,584,336.80, 1,204,602,744.96 and 542,665,764

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Solution

The fourth proportional to 872,584,336.80, 1,204,602,744.96 and 542,665,764 is: 749,150,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,584,336.80 : 1,204,602,744.96 = 542,665,764 : x
  2. Step 2: Convert to fraction form
    872,584,336.80/1,204,602,744.96 = 542,665,764/x
  3. Step 3: Cross multiply
    872,584,336.80x = 1,204,602,744.96 × 542,665,764
  4. Step 4: Simplify right side
    872,584,336.80x = 653,696,668,910,215,552
  5. Step 5: Solve for x
    x = 653,696,668,910,215,552/872,584,336.80
  6. Step 6: Final answer
    x = 749,150,129.50

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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.