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Finding the Fourth Proportional to 734,751,498.24, 1,013,957,122.32 and 404,726,637.24

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Solution

The fourth proportional to 734,751,498.24, 1,013,957,122.32 and 404,726,637.24 is: 558,522,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,751,498.24 : 1,013,957,122.32 = 404,726,637.24 : x
  2. Step 2: Convert to fraction form
    734,751,498.24/1,013,957,122.32 = 404,726,637.24/x
  3. Step 3: Cross multiply
    734,751,498.24x = 1,013,957,122.32 × 404,726,637.24
  4. Step 4: Simplify right side
    734,751,498.24x = 410,375,456,422,120,960
  5. Step 5: Solve for x
    x = 410,375,456,422,120,960/734,751,498.24
  6. Step 6: Final answer
    x = 558,522,789.55

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