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Finding the Fourth Proportional to 231,794,013.15, 347,691,019.73 and 231,794,013.15

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Solution

The fourth proportional to 231,794,013.15, 347,691,019.73 and 231,794,013.15 is: 347,691,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,794,013.15 : 347,691,019.73 = 231,794,013.15 : x
  2. Step 2: Convert to fraction form
    231,794,013.15/347,691,019.73 = 231,794,013.15/x
  3. Step 3: Cross multiply
    231,794,013.15x = 347,691,019.73 × 231,794,013.15
  4. Step 4: Simplify right side
    231,794,013.15x = 80,592,696,798,273,568
  5. Step 5: Solve for x
    x = 80,592,696,798,273,568/231,794,013.15
  6. Step 6: Final answer
    x = 347,691,019.73

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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.