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Finding the Fourth Proportional to 667,791,853,886.30, 1,001,687,780,829.40 and 667,791,853,886.30

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Solution

The fourth proportional to 667,791,853,886.30, 1,001,687,780,829.40 and 667,791,853,886.30 is: 1,001,687,780,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,791,853,886.30 : 1,001,687,780,829.40 = 667,791,853,886.30 : x
  2. Step 2: Convert to fraction form
    667,791,853,886.30/1,001,687,780,829.40 = 667,791,853,886.30/x
  3. Step 3: Cross multiply
    667,791,853,886.30x = 1,001,687,780,829.40 × 667,791,853,886.30
  4. Step 4: Simplify right side
    667,791,853,886.30x = 668,918,940,175,318,904,733,696
  5. Step 5: Solve for x
    x = 668,918,940,175,318,904,733,696/667,791,853,886.30
  6. Step 6: Final answer
    x = 1,001,687,780,829.40

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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.