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Finding the Fourth Proportional to 458,328,400.78, 632,508,470.71 and 257,420,679.82

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Solution

The fourth proportional to 458,328,400.78, 632,508,470.71 and 257,420,679.82 is: 355,249,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,328,400.78 : 632,508,470.71 = 257,420,679.82 : x
  2. Step 2: Convert to fraction form
    458,328,400.78/632,508,470.71 = 257,420,679.82/x
  3. Step 3: Cross multiply
    458,328,400.78x = 632,508,470.71 × 257,420,679.82
  4. Step 4: Simplify right side
    458,328,400.78x = 162,820,760,524,325,888
  5. Step 5: Solve for x
    x = 162,820,760,524,325,888/458,328,400.78
  6. Step 6: Final answer
    x = 355,249,118.86

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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.