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Finding the Fourth Proportional to 834,337,516.40, 1,170,491,170 and 834,337,516.40

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Solution

The fourth proportional to 834,337,516.40, 1,170,491,170 and 834,337,516.40 is: 1,170,491,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,337,516.40 : 1,170,491,170 = 834,337,516.40 : x
  2. Step 2: Convert to fraction form
    834,337,516.40/1,170,491,170 = 834,337,516.40/x
  3. Step 3: Cross multiply
    834,337,516.40x = 1,170,491,170 × 834,337,516.40
  4. Step 4: Simplify right side
    834,337,516.40x = 976,584,695,745,930,112
  5. Step 5: Solve for x
    x = 976,584,695,745,930,112/834,337,516.40
  6. Step 6: Final answer
    x = 1,170,491,170

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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.