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Finding the Fourth Proportional to 458,328,404.78, 632,508,476.24 and 257,420,683.82

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Solution

The fourth proportional to 458,328,404.78, 632,508,476.24 and 257,420,683.82 is: 355,249,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,328,404.78 : 632,508,476.24 = 257,420,683.82 : x
  2. Step 2: Convert to fraction form
    458,328,404.78/632,508,476.24 = 257,420,683.82/x
  3. Step 3: Cross multiply
    458,328,404.78x = 632,508,476.24 × 257,420,683.82
  4. Step 4: Simplify right side
    458,328,404.78x = 162,820,764,475,647,008
  5. Step 5: Solve for x
    x = 162,820,764,475,647,008/458,328,404.78
  6. Step 6: Final answer
    x = 355,249,124.38

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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.