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Finding the Fourth Proportional to 3,825,792,141.15, 5,729,618,285.33 and 3,825,792,141.15

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Solution

The fourth proportional to 3,825,792,141.15, 5,729,618,285.33 and 3,825,792,141.15 is: 5,729,618,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825,792,141.15 : 5,729,618,285.33 = 3,825,792,141.15 : x
  2. Step 2: Convert to fraction form
    3,825,792,141.15/5,729,618,285.33 = 3,825,792,141.15/x
  3. Step 3: Cross multiply
    3,825,792,141.15x = 5,729,618,285.33 × 3,825,792,141.15
  4. Step 4: Simplify right side
    3,825,792,141.15x = 21,920,328,607,785,721,856
  5. Step 5: Solve for x
    x = 21,920,328,607,785,721,856/3,825,792,141.15
  6. Step 6: Final answer
    x = 5,729,618,285.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.