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Finding the Fourth Proportional to 801,427,422,998.02, 1,202,141,134,497 and 801,427,422,998.02

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Solution

The fourth proportional to 801,427,422,998.02, 1,202,141,134,497 and 801,427,422,998.02 is: 1,202,141,134,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,422,998.02 : 1,202,141,134,497 = 801,427,422,998.02 : x
  2. Step 2: Convert to fraction form
    801,427,422,998.02/1,202,141,134,497 = 801,427,422,998.02/x
  3. Step 3: Cross multiply
    801,427,422,998.02x = 1,202,141,134,497 × 801,427,422,998.02
  4. Step 4: Simplify right side
    801,427,422,998.02x = 963,428,871,499,846,843,891,712
  5. Step 5: Solve for x
    x = 963,428,871,499,846,843,891,712/801,427,422,998.02
  6. Step 6: Final answer
    x = 1,202,141,134,497

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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.