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Finding the Fourth Proportional to 392,202,003.80, 586,791,351.30 and 256,153,107.80

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Solution

The fourth proportional to 392,202,003.80, 586,791,351.30 and 256,153,107.80 is: 383,242,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202,003.80 : 586,791,351.30 = 256,153,107.80 : x
  2. Step 2: Convert to fraction form
    392,202,003.80/586,791,351.30 = 256,153,107.80/x
  3. Step 3: Cross multiply
    392,202,003.80x = 586,791,351.30 × 256,153,107.80
  4. Step 4: Simplify right side
    392,202,003.80x = 150,308,428,265,656,576
  5. Step 5: Solve for x
    x = 150,308,428,265,656,576/392,202,003.80
  6. Step 6: Final answer
    x = 383,242,377.17

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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.