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Finding the Fourth Proportional to 83,921,546,743.80, 125,882,320,115.70 and 83,921,546,743.80

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Solution

The fourth proportional to 83,921,546,743.80, 125,882,320,115.70 and 83,921,546,743.80 is: 125,882,320,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,921,546,743.80 : 125,882,320,115.70 = 83,921,546,743.80 : x
  2. Step 2: Convert to fraction form
    83,921,546,743.80/125,882,320,115.70 = 83,921,546,743.80/x
  3. Step 3: Cross multiply
    83,921,546,743.80x = 125,882,320,115.70 × 83,921,546,743.80
  4. Step 4: Simplify right side
    83,921,546,743.80x = 10,564,239,011,807,712,247,808
  5. Step 5: Solve for x
    x = 10,564,239,011,807,712,247,808/83,921,546,743.80
  6. Step 6: Final answer
    x = 125,882,320,115.70

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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.