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Finding the Fourth Proportional to 541,677,490.36, 747,743,764.38 and 365,703,843.16

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Solution

The fourth proportional to 541,677,490.36, 747,743,764.38 and 365,703,843.16 is: 504,825,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,677,490.36 : 747,743,764.38 = 365,703,843.16 : x
  2. Step 2: Convert to fraction form
    541,677,490.36/747,743,764.38 = 365,703,843.16/x
  3. Step 3: Cross multiply
    541,677,490.36x = 747,743,764.38 × 365,703,843.16
  4. Step 4: Simplify right side
    541,677,490.36x = 273,452,768,332,691,520
  5. Step 5: Solve for x
    x = 273,452,768,332,691,520/541,677,490.36
  6. Step 6: Final answer
    x = 504,825,792.47

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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.