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Finding the Fourth Proportional to 178,464,007.80, 267,192,126.90 and 178,464,007.80

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Solution

The fourth proportional to 178,464,007.80, 267,192,126.90 and 178,464,007.80 is: 267,192,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,464,007.80 : 267,192,126.90 = 178,464,007.80 : x
  2. Step 2: Convert to fraction form
    178,464,007.80/267,192,126.90 = 178,464,007.80/x
  3. Step 3: Cross multiply
    178,464,007.80x = 267,192,126.90 × 178,464,007.80
  4. Step 4: Simplify right side
    178,464,007.80x = 47,684,177,819,180,192
  5. Step 5: Solve for x
    x = 47,684,177,819,180,192/178,464,007.80
  6. Step 6: Final answer
    x = 267,192,126.90

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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.