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Finding the Fourth Proportional to 801,427,409,856.90, 1,202,141,114,785.40 and 801,427,409,856.90

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Solution

The fourth proportional to 801,427,409,856.90, 1,202,141,114,785.40 and 801,427,409,856.90 is: 1,202,141,114,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,409,856.90 : 1,202,141,114,785.40 = 801,427,409,856.90 : x
  2. Step 2: Convert to fraction form
    801,427,409,856.90/1,202,141,114,785.40 = 801,427,409,856.90/x
  3. Step 3: Cross multiply
    801,427,409,856.90x = 1,202,141,114,785.40 × 801,427,409,856.90
  4. Step 4: Simplify right side
    801,427,409,856.90x = 963,428,839,904,949,380,841,472
  5. Step 5: Solve for x
    x = 963,428,839,904,949,380,841,472/801,427,409,856.90
  6. Step 6: Final answer
    x = 1,202,141,114,785.40

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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.