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Finding the Fourth Proportional to 1,136,906,147.16, 1,568,842,919.10 and 641,917,713.24

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Solution

The fourth proportional to 1,136,906,147.16, 1,568,842,919.10 and 641,917,713.24 is: 885,797,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,906,147.16 : 1,568,842,919.10 = 641,917,713.24 : x
  2. Step 2: Convert to fraction form
    1,136,906,147.16/1,568,842,919.10 = 641,917,713.24/x
  3. Step 3: Cross multiply
    1,136,906,147.16x = 1,568,842,919.10 × 641,917,713.24
  4. Step 4: Simplify right side
    1,136,906,147.16x = 1,007,068,059,061,438,336
  5. Step 5: Solve for x
    x = 1,007,068,059,061,438,336/1,136,906,147.16
  6. Step 6: Final answer
    x = 885,797,004.07

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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.