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Finding the Fourth Proportional to 225,917,784,806.10, 338,876,677,209.15 and 225,917,784,806.10

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Solution

The fourth proportional to 225,917,784,806.10, 338,876,677,209.15 and 225,917,784,806.10 is: 338,876,677,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,917,784,806.10 : 338,876,677,209.15 = 225,917,784,806.10 : x
  2. Step 2: Convert to fraction form
    225,917,784,806.10/338,876,677,209.15 = 225,917,784,806.10/x
  3. Step 3: Cross multiply
    225,917,784,806.10x = 338,876,677,209.15 × 225,917,784,806.10
  4. Step 4: Simplify right side
    225,917,784,806.10x = 76,558,268,237,542,976,389,120
  5. Step 5: Solve for x
    x = 76,558,268,237,542,976,389,120/225,917,784,806.10
  6. Step 6: Final answer
    x = 338,876,677,209.15

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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.