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Finding the Fourth Proportional to 8,277,264.92, 12,493,648.02 and 8,277,264.92

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Solution

The fourth proportional to 8,277,264.92, 12,493,648.02 and 8,277,264.92 is: 12,493,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277,264.92 : 12,493,648.02 = 8,277,264.92 : x
  2. Step 2: Convert to fraction form
    8,277,264.92/12,493,648.02 = 8,277,264.92/x
  3. Step 3: Cross multiply
    8,277,264.92x = 12,493,648.02 × 8,277,264.92
  4. Step 4: Simplify right side
    8,277,264.92x = 103,413,234,437,387.14
  5. Step 5: Solve for x
    x = 103,413,234,437,387.14/8,277,264.92
  6. Step 6: Final answer
    x = 12,493,648.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.