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Finding the Fourth Proportional to 27,248,715,999.45, 40,873,073,999.18 and 27,248,715,999.45

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Solution

The fourth proportional to 27,248,715,999.45, 40,873,073,999.18 and 27,248,715,999.45 is: 40,873,073,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248,715,999.45 : 40,873,073,999.18 = 27,248,715,999.45 : x
  2. Step 2: Convert to fraction form
    27,248,715,999.45/40,873,073,999.18 = 27,248,715,999.45/x
  3. Step 3: Cross multiply
    27,248,715,999.45x = 40,873,073,999.18 × 27,248,715,999.45
  4. Step 4: Simplify right side
    27,248,715,999.45x = 1,113,738,785,428,023,672,832
  5. Step 5: Solve for x
    x = 1,113,738,785,428,023,672,832/27,248,715,999.45
  6. Step 6: Final answer
    x = 40,873,073,999.18

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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.