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Finding the Fourth Proportional to 25,754,150,793.30, 38,631,226,189.95 and 25,754,150,793.30

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Solution

The fourth proportional to 25,754,150,793.30, 38,631,226,189.95 and 25,754,150,793.30 is: 38,631,226,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754,150,793.30 : 38,631,226,189.95 = 25,754,150,793.30 : x
  2. Step 2: Convert to fraction form
    25,754,150,793.30/38,631,226,189.95 = 25,754,150,793.30/x
  3. Step 3: Cross multiply
    25,754,150,793.30x = 38,631,226,189.95 × 25,754,150,793.30
  4. Step 4: Simplify right side
    25,754,150,793.30x = 994,914,424,626,052,464,640
  5. Step 5: Solve for x
    x = 994,914,424,626,052,464,640/25,754,150,793.30
  6. Step 6: Final answer
    x = 38,631,226,189.95

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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.