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Finding the Fourth Proportional to 647,010,704.70, 970,516,057.05 and 463,344,695.10

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Solution

The fourth proportional to 647,010,704.70, 970,516,057.05 and 463,344,695.10 is: 695,017,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,010,704.70 : 970,516,057.05 = 463,344,695.10 : x
  2. Step 2: Convert to fraction form
    647,010,704.70/970,516,057.05 = 463,344,695.10/x
  3. Step 3: Cross multiply
    647,010,704.70x = 970,516,057.05 × 463,344,695.10
  4. Step 4: Simplify right side
    647,010,704.70x = 449,683,466,543,486,464
  5. Step 5: Solve for x
    x = 449,683,466,543,486,464/647,010,704.70
  6. Step 6: Final answer
    x = 695,017,042.65

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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.