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Finding the Fourth Proportional to 211,661,027.10, 317,491,540.65 and 211,661,027.10

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Solution

The fourth proportional to 211,661,027.10, 317,491,540.65 and 211,661,027.10 is: 317,491,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,661,027.10 : 317,491,540.65 = 211,661,027.10 : x
  2. Step 2: Convert to fraction form
    211,661,027.10/317,491,540.65 = 211,661,027.10/x
  3. Step 3: Cross multiply
    211,661,027.10x = 317,491,540.65 × 211,661,027.10
  4. Step 4: Simplify right side
    211,661,027.10x = 67,200,585,589,540,392
  5. Step 5: Solve for x
    x = 67,200,585,589,540,392/211,661,027.10
  6. Step 6: Final answer
    x = 317,491,540.65

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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.