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Finding the Fourth Proportional to 564,984,400.80, 847,476,601.20 and 292,438,711.20

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Solution

The fourth proportional to 564,984,400.80, 847,476,601.20 and 292,438,711.20 is: 438,658,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,984,400.80 : 847,476,601.20 = 292,438,711.20 : x
  2. Step 2: Convert to fraction form
    564,984,400.80/847,476,601.20 = 292,438,711.20/x
  3. Step 3: Cross multiply
    564,984,400.80x = 847,476,601.20 × 292,438,711.20
  4. Step 4: Simplify right side
    564,984,400.80x = 247,834,965,027,084,384
  5. Step 5: Solve for x
    x = 247,834,965,027,084,384/564,984,400.80
  6. Step 6: Final answer
    x = 438,658,066.80

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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.