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Finding the Fourth Proportional to 140,177,625.80, 210,266,438.70 and 140,177,625.80

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Solution

The fourth proportional to 140,177,625.80, 210,266,438.70 and 140,177,625.80 is: 210,266,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,177,625.80 : 210,266,438.70 = 140,177,625.80 : x
  2. Step 2: Convert to fraction form
    140,177,625.80/210,266,438.70 = 140,177,625.80/x
  3. Step 3: Cross multiply
    140,177,625.80x = 210,266,438.70 × 140,177,625.80
  4. Step 4: Simplify right side
    140,177,625.80x = 29,474,650,162,387,240
  5. Step 5: Solve for x
    x = 29,474,650,162,387,240/140,177,625.80
  6. Step 6: Final answer
    x = 210,266,438.70

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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.