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Finding the Fourth Proportional to 127,766,004,819.80, 191,649,007,229.70 and 127,766,004,819.80

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Solution

The fourth proportional to 127,766,004,819.80, 191,649,007,229.70 and 127,766,004,819.80 is: 191,649,007,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,766,004,819.80 : 191,649,007,229.70 = 127,766,004,819.80 : x
  2. Step 2: Convert to fraction form
    127,766,004,819.80/191,649,007,229.70 = 127,766,004,819.80/x
  3. Step 3: Cross multiply
    127,766,004,819.80x = 191,649,007,229.70 × 127,766,004,819.80
  4. Step 4: Simplify right side
    127,766,004,819.80x = 24,486,227,981,419,738,562,560
  5. Step 5: Solve for x
    x = 24,486,227,981,419,738,562,560/127,766,004,819.80
  6. Step 6: Final answer
    x = 191,649,007,229.70

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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.