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Finding the Fourth Proportional to 801,427,419,344.02, 1,202,141,129,016 and 801,427,419,344.02

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Solution

The fourth proportional to 801,427,419,344.02, 1,202,141,129,016 and 801,427,419,344.02 is: 1,202,141,129,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,419,344.02 : 1,202,141,129,016 = 801,427,419,344.02 : x
  2. Step 2: Convert to fraction form
    801,427,419,344.02/1,202,141,129,016 = 801,427,419,344.02/x
  3. Step 3: Cross multiply
    801,427,419,344.02x = 1,202,141,129,016 × 801,427,419,344.02
  4. Step 4: Simplify right side
    801,427,419,344.02x = 963,428,862,714,599,553,630,208
  5. Step 5: Solve for x
    x = 963,428,862,714,599,553,630,208/801,427,419,344.02
  6. Step 6: Final answer
    x = 1,202,141,129,016

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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.