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Finding the Fourth Proportional to 81,330,289,488.70, 121,995,434,233.05 and 81,330,289,488.70

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Solution

The fourth proportional to 81,330,289,488.70, 121,995,434,233.05 and 81,330,289,488.70 is: 121,995,434,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,330,289,488.70 : 121,995,434,233.05 = 81,330,289,488.70 : x
  2. Step 2: Convert to fraction form
    81,330,289,488.70/121,995,434,233.05 = 81,330,289,488.70/x
  3. Step 3: Cross multiply
    81,330,289,488.70x = 121,995,434,233.05 × 81,330,289,488.70
  4. Step 4: Simplify right side
    81,330,289,488.70x = 9,921,923,982,473,618,784,256
  5. Step 5: Solve for x
    x = 9,921,923,982,473,618,784,256/81,330,289,488.70
  6. Step 6: Final answer
    x = 121,995,434,233.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.