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Finding the Fourth Proportional to 834,338,002.65, 1,170,491,850.75 and 834,338,002.65

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Solution

The fourth proportional to 834,338,002.65, 1,170,491,850.75 and 834,338,002.65 is: 1,170,491,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,338,002.65 : 1,170,491,850.75 = 834,338,002.65 : x
  2. Step 2: Convert to fraction form
    834,338,002.65/1,170,491,850.75 = 834,338,002.65/x
  3. Step 3: Cross multiply
    834,338,002.65x = 1,170,491,850.75 × 834,338,002.65
  4. Step 4: Simplify right side
    834,338,002.65x = 976,585,832,872,856,832
  5. Step 5: Solve for x
    x = 976,585,832,872,856,832/834,338,002.65
  6. Step 6: Final answer
    x = 1,170,491,850.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.