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Finding the Fourth Proportional to 178,380,337.20, 267,570,505.80 and 178,380,337.20

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Solution

The fourth proportional to 178,380,337.20, 267,570,505.80 and 178,380,337.20 is: 267,570,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,380,337.20 : 267,570,505.80 = 178,380,337.20 : x
  2. Step 2: Convert to fraction form
    178,380,337.20/267,570,505.80 = 178,380,337.20/x
  3. Step 3: Cross multiply
    178,380,337.20x = 267,570,505.80 × 178,380,337.20
  4. Step 4: Simplify right side
    178,380,337.20x = 47,729,317,049,378,552
  5. Step 5: Solve for x
    x = 47,729,317,049,378,552/178,380,337.20
  6. Step 6: Final answer
    x = 267,570,505.80

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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.