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Finding the Fourth Proportional to 231,787,942,755.70, 347,681,914,133.55 and 231,787,942,755.70

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Solution

The fourth proportional to 231,787,942,755.70, 347,681,914,133.55 and 231,787,942,755.70 is: 347,681,914,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,787,942,755.70 : 347,681,914,133.55 = 231,787,942,755.70 : x
  2. Step 2: Convert to fraction form
    231,787,942,755.70/347,681,914,133.55 = 231,787,942,755.70/x
  3. Step 3: Cross multiply
    231,787,942,755.70x = 347,681,914,133.55 × 231,787,942,755.70
  4. Step 4: Simplify right side
    231,787,942,755.70x = 80,588,475,610,379,495,407,616
  5. Step 5: Solve for x
    x = 80,588,475,610,379,495,407,616/231,787,942,755.70
  6. Step 6: Final answer
    x = 347,681,914,133.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.