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Finding the Fourth Proportional to 231,787,680,015.90, 347,681,520,023.85 and 231,787,680,015.90

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Solution

The fourth proportional to 231,787,680,015.90, 347,681,520,023.85 and 231,787,680,015.90 is: 347,681,520,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,787,680,015.90 : 347,681,520,023.85 = 231,787,680,015.90 : x
  2. Step 2: Convert to fraction form
    231,787,680,015.90/347,681,520,023.85 = 231,787,680,015.90/x
  3. Step 3: Cross multiply
    231,787,680,015.90x = 347,681,520,023.85 × 231,787,680,015.90
  4. Step 4: Simplify right side
    231,787,680,015.90x = 80,588,292,910,729,861,791,744
  5. Step 5: Solve for x
    x = 80,588,292,910,729,861,791,744/231,787,680,015.90
  6. Step 6: Final answer
    x = 347,681,520,023.85

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1.5x scale

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.