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Finding the Fourth Proportional to 100,504,900.10, 140,898,178.90 and 100,504,900.10

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Solution

The fourth proportional to 100,504,900.10, 140,898,178.90 and 100,504,900.10 is: 140,898,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504,900.10 : 140,898,178.90 = 100,504,900.10 : x
  2. Step 2: Convert to fraction form
    100,504,900.10/140,898,178.90 = 100,504,900.10/x
  3. Step 3: Cross multiply
    100,504,900.10x = 140,898,178.90 × 100,504,900.10
  4. Step 4: Simplify right side
    100,504,900.10x = 14,160,957,394,616,428
  5. Step 5: Solve for x
    x = 14,160,957,394,616,428/100,504,900.10
  6. Step 6: Final answer
    x = 140,898,178.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.