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Finding the Fourth Proportional to 392,202,709.60, 588,304,064.40 and 133,709,807.20

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Solution

The fourth proportional to 392,202,709.60, 588,304,064.40 and 133,709,807.20 is: 200,564,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202,709.60 : 588,304,064.40 = 133,709,807.20 : x
  2. Step 2: Convert to fraction form
    392,202,709.60/588,304,064.40 = 133,709,807.20/x
  3. Step 3: Cross multiply
    392,202,709.60x = 588,304,064.40 × 133,709,807.20
  4. Step 4: Simplify right side
    392,202,709.60x = 78,662,023,025,900,384
  5. Step 5: Solve for x
    x = 78,662,023,025,900,384/392,202,709.60
  6. Step 6: Final answer
    x = 200,564,710.80

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