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Finding the Fourth Proportional to 100,472,701.53, 150,719,478.71 and 27,689,494.53

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Solution

The fourth proportional to 100,472,701.53, 150,719,478.71 and 27,689,494.53 is: 41,537,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472,701.53 : 150,719,478.71 = 27,689,494.53 : x
  2. Step 2: Convert to fraction form
    100,472,701.53/150,719,478.71 = 27,689,494.53/x
  3. Step 3: Cross multiply
    100,472,701.53x = 150,719,478.71 × 27,689,494.53
  4. Step 4: Simplify right side
    100,472,701.53x = 4,173,346,181,166,549.50
  5. Step 5: Solve for x
    x = 4,173,346,181,166,549.50/100,472,701.53
  6. Step 6: Final answer
    x = 41,537,115.23

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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.