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Finding the Fourth Proportional to 801,427,409,853.90, 1,202,141,114,780.90 and 801,427,409,853.90

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Solution

The fourth proportional to 801,427,409,853.90, 1,202,141,114,780.90 and 801,427,409,853.90 is: 1,202,141,114,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,427,409,853.90 : 1,202,141,114,780.90 = 801,427,409,853.90 : x
  2. Step 2: Convert to fraction form
    801,427,409,853.90/1,202,141,114,780.90 = 801,427,409,853.90/x
  3. Step 3: Cross multiply
    801,427,409,853.90x = 1,202,141,114,780.90 × 801,427,409,853.90
  4. Step 4: Simplify right side
    801,427,409,853.90x = 963,428,839,897,736,520,138,752
  5. Step 5: Solve for x
    x = 963,428,839,897,736,520,138,752/801,427,409,853.90
  6. Step 6: Final answer
    x = 1,202,141,114,780.90

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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.