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Finding the Fourth Proportional to 102,151,496,711.70, 153,227,245,067.55 and 102,151,496,711.70

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Solution

The fourth proportional to 102,151,496,711.70, 153,227,245,067.55 and 102,151,496,711.70 is: 153,227,245,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151,496,711.70 : 153,227,245,067.55 = 102,151,496,711.70 : x
  2. Step 2: Convert to fraction form
    102,151,496,711.70/153,227,245,067.55 = 102,151,496,711.70/x
  3. Step 3: Cross multiply
    102,151,496,711.70x = 153,227,245,067.55 × 102,151,496,711.70
  4. Step 4: Simplify right side
    102,151,496,711.70x = 15,652,392,420,660,681,375,744
  5. Step 5: Solve for x
    x = 15,652,392,420,660,681,375,744/102,151,496,711.70
  6. Step 6: Final answer
    x = 153,227,245,067.55

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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.