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Finding the Fourth Proportional to 741,802,858.56, 1,023,636,737.16 and 411,752,016

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Solution

The fourth proportional to 741,802,858.56, 1,023,636,737.16 and 411,752,016 is: 568,189,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,802,858.56 : 1,023,636,737.16 = 411,752,016 : x
  2. Step 2: Convert to fraction form
    741,802,858.56/1,023,636,737.16 = 411,752,016/x
  3. Step 3: Cross multiply
    741,802,858.56x = 1,023,636,737.16 × 411,752,016
  4. Step 4: Simplify right side
    741,802,858.56x = 421,484,490,177,292,096
  5. Step 5: Solve for x
    x = 421,484,490,177,292,096/741,802,858.56
  6. Step 6: Final answer
    x = 568,189,358.28

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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.