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Finding the Fourth Proportional to 100,472,673.78, 150,719,437.08 and 27,689,466.78

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Solution

The fourth proportional to 100,472,673.78, 150,719,437.08 and 27,689,466.78 is: 41,537,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472,673.78 : 150,719,437.08 = 27,689,466.78 : x
  2. Step 2: Convert to fraction form
    100,472,673.78/150,719,437.08 = 27,689,466.78/x
  3. Step 3: Cross multiply
    100,472,673.78x = 150,719,437.08 × 27,689,466.78
  4. Step 4: Simplify right side
    100,472,673.78x = 4,173,340,846,126,960.50
  5. Step 5: Solve for x
    x = 4,173,340,846,126,960.50/100,472,673.78
  6. Step 6: Final answer
    x = 41,537,073.61

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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.