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Finding the Fourth Proportional to 27,652,364.55, 41,478,546.83 and 27,652,364.55

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Solution

The fourth proportional to 27,652,364.55, 41,478,546.83 and 27,652,364.55 is: 41,478,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652,364.55 : 41,478,546.83 = 27,652,364.55 : x
  2. Step 2: Convert to fraction form
    27,652,364.55/41,478,546.83 = 27,652,364.55/x
  3. Step 3: Cross multiply
    27,652,364.55x = 41,478,546.83 × 27,652,364.55
  4. Step 4: Simplify right side
    27,652,364.55x = 1,146,979,897,809,145.25
  5. Step 5: Solve for x
    x = 1,146,979,897,809,145.25/27,652,364.55
  6. Step 6: Final answer
    x = 41,478,546.83

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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.