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Finding the Fourth Proportional to 564,858,227.52, 847,295,866.80 and 215,123,659.20

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Solution

The fourth proportional to 564,858,227.52, 847,295,866.80 and 215,123,659.20 is: 322,688,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,858,227.52 : 847,295,866.80 = 215,123,659.20 : x
  2. Step 2: Convert to fraction form
    564,858,227.52/847,295,866.80 = 215,123,659.20/x
  3. Step 3: Cross multiply
    564,858,227.52x = 847,295,866.80 × 215,123,659.20
  4. Step 4: Simplify right side
    564,858,227.52x = 182,273,387,291,051,776
  5. Step 5: Solve for x
    x = 182,273,387,291,051,776/564,858,227.52
  6. Step 6: Final answer
    x = 322,688,735.71

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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.