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Finding the Fourth Proportional to 27,856,843.40, 41,785,265.10 and 27,856,843.40

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Solution

The fourth proportional to 27,856,843.40, 41,785,265.10 and 27,856,843.40 is: 41,785,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856,843.40 : 41,785,265.10 = 27,856,843.40 : x
  2. Step 2: Convert to fraction form
    27,856,843.40/41,785,265.10 = 27,856,843.40/x
  3. Step 3: Cross multiply
    27,856,843.40x = 41,785,265.10 × 27,856,843.40
  4. Step 4: Simplify right side
    27,856,843.40x = 1,164,005,586,318,185.25
  5. Step 5: Solve for x
    x = 1,164,005,586,318,185.25/27,856,843.40
  6. Step 6: Final answer
    x = 41,785,265.10

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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.