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Finding the Fourth Proportional to 463,930,958.40, 695,786,562.72 and 172,934,687.04

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Solution

The fourth proportional to 463,930,958.40, 695,786,562.72 and 172,934,687.04 is: 259,361,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,930,958.40 : 695,786,562.72 = 172,934,687.04 : x
  2. Step 2: Convert to fraction form
    463,930,958.40/695,786,562.72 = 172,934,687.04/x
  3. Step 3: Cross multiply
    463,930,958.40x = 695,786,562.72 × 172,934,687.04
  4. Step 4: Simplify right side
    463,930,958.40x = 120,325,631,470,620,528
  5. Step 5: Solve for x
    x = 120,325,631,470,620,528/463,930,958.40
  6. Step 6: Final answer
    x = 259,361,073.65

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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.