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Finding the Fourth Proportional to 100,193,857.70, 150,051,638.10 and 100,193,857.70

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Solution

The fourth proportional to 100,193,857.70, 150,051,638.10 and 100,193,857.70 is: 150,051,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193,857.70 : 150,051,638.10 = 100,193,857.70 : x
  2. Step 2: Convert to fraction form
    100,193,857.70/150,051,638.10 = 100,193,857.70/x
  3. Step 3: Cross multiply
    100,193,857.70x = 150,051,638.10 × 100,193,857.70
  4. Step 4: Simplify right side
    100,193,857.70x = 15,034,252,475,443,298
  5. Step 5: Solve for x
    x = 15,034,252,475,443,298/100,193,857.70
  6. Step 6: Final answer
    x = 150,051,638.10

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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.