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Finding the Fourth Proportional to 440,981,934.42, 661,472,901.41 and 164,654,728.34

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Solution

The fourth proportional to 440,981,934.42, 661,472,901.41 and 164,654,728.34 is: 246,982,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,981,934.42 : 661,472,901.41 = 164,654,728.34 : x
  2. Step 2: Convert to fraction form
    440,981,934.42/661,472,901.41 = 164,654,728.34/x
  3. Step 3: Cross multiply
    440,981,934.42x = 661,472,901.41 × 164,654,728.34
  4. Step 4: Simplify right side
    440,981,934.42x = 108,914,640,881,804,512
  5. Step 5: Solve for x
    x = 108,914,640,881,804,512/440,981,934.42
  6. Step 6: Final answer
    x = 246,982,092.42

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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.