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Finding the Fourth Proportional to 226,561,612,228.80, 339,189,383,642.40 and 226,561,612,228.80

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Solution

The fourth proportional to 226,561,612,228.80, 339,189,383,642.40 and 226,561,612,228.80 is: 339,189,383,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,561,612,228.80 : 339,189,383,642.40 = 226,561,612,228.80 : x
  2. Step 2: Convert to fraction form
    226,561,612,228.80/339,189,383,642.40 = 226,561,612,228.80/x
  3. Step 3: Cross multiply
    226,561,612,228.80x = 339,189,383,642.40 × 226,561,612,228.80
  4. Step 4: Simplify right side
    226,561,612,228.80x = 76,847,293,608,915,103,645,696
  5. Step 5: Solve for x
    x = 76,847,293,608,915,103,645,696/226,561,612,228.80
  6. Step 6: Final answer
    x = 339,189,383,642.40

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Double scale
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1.5x scale

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.