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Finding the Fourth Proportional to 801,427,423,013.40, 1,202,141,134,520 and 801,427,423,013.40

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Solution

The fourth proportional to 801,427,423,013.40, 1,202,141,134,520 and 801,427,423,013.40 is: 1,202,141,134,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,423,013.40 : 1,202,141,134,520 = 801,427,423,013.40 : x
  2. Step 2: Convert to fraction form
    801,427,423,013.40/1,202,141,134,520 = 801,427,423,013.40/x
  3. Step 3: Cross multiply
    801,427,423,013.40x = 1,202,141,134,520 × 801,427,423,013.40
  4. Step 4: Simplify right side
    801,427,423,013.40x = 963,428,871,536,768,664,469,504
  5. Step 5: Solve for x
    x = 963,428,871,536,768,664,469,504/801,427,423,013.40
  6. Step 6: Final answer
    x = 1,202,141,134,520

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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.