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Finding the Fourth Proportional to 801,427,415,052.02, 1,202,141,122,578 and 801,427,415,052.02

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Solution

The fourth proportional to 801,427,415,052.02, 1,202,141,122,578 and 801,427,415,052.02 is: 1,202,141,122,578

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,415,052.02 : 1,202,141,122,578 = 801,427,415,052.02 : x
  2. Step 2: Convert to fraction form
    801,427,415,052.02/1,202,141,122,578 = 801,427,415,052.02/x
  3. Step 3: Cross multiply
    801,427,415,052.02x = 1,202,141,122,578 × 801,427,415,052.02
  4. Step 4: Simplify right side
    801,427,415,052.02x = 963,428,852,395,420,128,641,024
  5. Step 5: Solve for x
    x = 963,428,852,395,420,128,641,024/801,427,415,052.02
  6. Step 6: Final answer
    x = 1,202,141,122,578

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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.