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Finding the Fourth Proportional to 75,691,098,101.70, 113,536,647,152.55 and 75,691,098,101.70

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Solution

The fourth proportional to 75,691,098,101.70, 113,536,647,152.55 and 75,691,098,101.70 is: 113,536,647,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691,098,101.70 : 113,536,647,152.55 = 75,691,098,101.70 : x
  2. Step 2: Convert to fraction form
    75,691,098,101.70/113,536,647,152.55 = 75,691,098,101.70/x
  3. Step 3: Cross multiply
    75,691,098,101.70x = 113,536,647,152.55 × 75,691,098,101.70
  4. Step 4: Simplify right side
    75,691,098,101.70x = 8,593,713,497,761,759,887,360
  5. Step 5: Solve for x
    x = 8,593,713,497,761,759,887,360/75,691,098,101.70
  6. Step 6: Final answer
    x = 113,536,647,152.55

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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.