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Finding the Fourth Proportional to 83,793,204,002.01, 125,689,806,003.01 and 83,793,204,002.01

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Solution

The fourth proportional to 83,793,204,002.01, 125,689,806,003.01 and 83,793,204,002.01 is: 125,689,806,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793,204,002.01 : 125,689,806,003.01 = 83,793,204,002.01 : x
  2. Step 2: Convert to fraction form
    83,793,204,002.01/125,689,806,003.01 = 83,793,204,002.01/x
  3. Step 3: Cross multiply
    83,793,204,002.01x = 125,689,806,003.01 × 83,793,204,002.01
  4. Step 4: Simplify right side
    83,793,204,002.01x = 10,531,951,555,383,276,863,488
  5. Step 5: Solve for x
    x = 10,531,951,555,383,276,863,488/83,793,204,002.01
  6. Step 6: Final answer
    x = 125,689,806,003.01

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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.