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Finding the Fourth Proportional to 392,202,002.80, 586,791,349.80 and 256,153,106.80

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Solution

The fourth proportional to 392,202,002.80, 586,791,349.80 and 256,153,106.80 is: 383,242,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202,002.80 : 586,791,349.80 = 256,153,106.80 : x
  2. Step 2: Convert to fraction form
    392,202,002.80/586,791,349.80 = 256,153,106.80/x
  3. Step 3: Cross multiply
    392,202,002.80x = 586,791,349.80 × 256,153,106.80
  4. Step 4: Simplify right side
    392,202,002.80x = 150,308,427,294,635,552
  5. Step 5: Solve for x
    x = 150,308,427,294,635,552/392,202,002.80
  6. Step 6: Final answer
    x = 383,242,375.67

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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.