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Finding the Fourth Proportional to 27,146,132.70, 40,719,199.05 and 27,146,132.70

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Solution

The fourth proportional to 27,146,132.70, 40,719,199.05 and 27,146,132.70 is: 40,719,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146,132.70 : 40,719,199.05 = 27,146,132.70 : x
  2. Step 2: Convert to fraction form
    27,146,132.70/40,719,199.05 = 27,146,132.70/x
  3. Step 3: Cross multiply
    27,146,132.70x = 40,719,199.05 × 27,146,132.70
  4. Step 4: Simplify right side
    27,146,132.70x = 1,105,368,780,849,013.88
  5. Step 5: Solve for x
    x = 1,105,368,780,849,013.88/27,146,132.70
  6. Step 6: Final answer
    x = 40,719,199.05

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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.