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Finding the Fourth Proportional to 231,787,098,419.20, 347,680,647,628.80 and 231,787,098,419.20

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Solution

The fourth proportional to 231,787,098,419.20, 347,680,647,628.80 and 231,787,098,419.20 is: 347,680,647,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,787,098,419.20 : 347,680,647,628.80 = 231,787,098,419.20 : x
  2. Step 2: Convert to fraction form
    231,787,098,419.20/347,680,647,628.80 = 231,787,098,419.20/x
  3. Step 3: Cross multiply
    231,787,098,419.20x = 347,680,647,628.80 × 231,787,098,419.20
  4. Step 4: Simplify right side
    231,787,098,419.20x = 80,587,888,490,387,859,308,544
  5. Step 5: Solve for x
    x = 80,587,888,490,387,859,308,544/231,787,098,419.20
  6. Step 6: Final answer
    x = 347,680,647,628.80

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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.