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Finding the Fourth Proportional to 27,661,569.15, 38,782,883.85 and 27,661,569.15

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Solution

The fourth proportional to 27,661,569.15, 38,782,883.85 and 27,661,569.15 is: 38,782,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661,569.15 : 38,782,883.85 = 27,661,569.15 : x
  2. Step 2: Convert to fraction form
    27,661,569.15/38,782,883.85 = 27,661,569.15/x
  3. Step 3: Cross multiply
    27,661,569.15x = 38,782,883.85 × 27,661,569.15
  4. Step 4: Simplify right side
    27,661,569.15x = 1,072,795,423,453,193.25
  5. Step 5: Solve for x
    x = 1,072,795,423,453,193.25/27,661,569.15
  6. Step 6: Final answer
    x = 38,782,883.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.