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Finding the Fourth Proportional to 206,510,668.22, 284,974,471.23 and 113,689,183.16

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Solution

The fourth proportional to 206,510,668.22, 284,974,471.23 and 113,689,183.16 is: 156,885,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,510,668.22 : 284,974,471.23 = 113,689,183.16 : x
  2. Step 2: Convert to fraction form
    206,510,668.22/284,974,471.23 = 113,689,183.16/x
  3. Step 3: Cross multiply
    206,510,668.22x = 284,974,471.23 × 113,689,183.16
  4. Step 4: Simplify right side
    206,510,668.22x = 32,398,514,855,591,620
  5. Step 5: Solve for x
    x = 32,398,514,855,591,620/206,510,668.22
  6. Step 6: Final answer
    x = 156,885,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.