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Finding the Fourth Proportional to 36,278,843.10, 54,418,264.65 and 36,278,843.10

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Solution

The fourth proportional to 36,278,843.10, 54,418,264.65 and 36,278,843.10 is: 54,418,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,278,843.10 : 54,418,264.65 = 36,278,843.10 : x
  2. Step 2: Convert to fraction form
    36,278,843.10/54,418,264.65 = 36,278,843.10/x
  3. Step 3: Cross multiply
    36,278,843.10x = 54,418,264.65 × 36,278,843.10
  4. Step 4: Simplify right side
    36,278,843.10x = 1,974,231,685,011,626.50
  5. Step 5: Solve for x
    x = 1,974,231,685,011,626.50/36,278,843.10
  6. Step 6: Final answer
    x = 54,418,264.65

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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.