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Finding the Fourth Proportional to 215,320,906,908.80, 322,981,360,363.20 and 215,320,906,908.80

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Solution

The fourth proportional to 215,320,906,908.80, 322,981,360,363.20 and 215,320,906,908.80 is: 322,981,360,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,320,906,908.80 : 322,981,360,363.20 = 215,320,906,908.80 : x
  2. Step 2: Convert to fraction form
    215,320,906,908.80/322,981,360,363.20 = 215,320,906,908.80/x
  3. Step 3: Cross multiply
    215,320,906,908.80x = 322,981,360,363.20 × 215,320,906,908.80
  4. Step 4: Simplify right side
    215,320,906,908.80x = 69,544,639,428,042,168,467,456
  5. Step 5: Solve for x
    x = 69,544,639,428,042,168,467,456/215,320,906,908.80
  6. Step 6: Final answer
    x = 322,981,360,363.20

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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.