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Finding the Fourth Proportional to 667,791,853,876.75, 1,001,687,780,815.20 and 667,791,853,876.75

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Solution

The fourth proportional to 667,791,853,876.75, 1,001,687,780,815.20 and 667,791,853,876.75 is: 1,001,687,780,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,791,853,876.75 : 1,001,687,780,815.20 = 667,791,853,876.75 : x
  2. Step 2: Convert to fraction form
    667,791,853,876.75/1,001,687,780,815.20 = 667,791,853,876.75/x
  3. Step 3: Cross multiply
    667,791,853,876.75x = 1,001,687,780,815.20 × 667,791,853,876.75
  4. Step 4: Simplify right side
    667,791,853,876.75x = 668,918,940,156,270,053,687,296
  5. Step 5: Solve for x
    x = 668,918,940,156,270,053,687,296/667,791,853,876.75
  6. Step 6: Final answer
    x = 1,001,687,780,815.20

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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.