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Finding the Fourth Proportional to 27,971,512.20, 41,957,268.30 and 27,971,512.20

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Solution

The fourth proportional to 27,971,512.20, 41,957,268.30 and 27,971,512.20 is: 41,957,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971,512.20 : 41,957,268.30 = 27,971,512.20 : x
  2. Step 2: Convert to fraction form
    27,971,512.20/41,957,268.30 = 27,971,512.20/x
  3. Step 3: Cross multiply
    27,971,512.20x = 41,957,268.30 × 27,971,512.20
  4. Step 4: Simplify right side
    27,971,512.20x = 1,173,608,242,132,123.25
  5. Step 5: Solve for x
    x = 1,173,608,242,132,123.25/27,971,512.20
  6. Step 6: Final answer
    x = 41,957,268.30

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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.