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Finding the Fourth Proportional to 72,661,190,906.30, 108,991,786,359.45 and 72,661,190,906.30

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Solution

The fourth proportional to 72,661,190,906.30, 108,991,786,359.45 and 72,661,190,906.30 is: 108,991,786,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,661,190,906.30 : 108,991,786,359.45 = 72,661,190,906.30 : x
  2. Step 2: Convert to fraction form
    72,661,190,906.30/108,991,786,359.45 = 72,661,190,906.30/x
  3. Step 3: Cross multiply
    72,661,190,906.30x = 108,991,786,359.45 × 72,661,190,906.30
  4. Step 4: Simplify right side
    72,661,190,906.30x = 7,919,472,995,882,660,528,128
  5. Step 5: Solve for x
    x = 7,919,472,995,882,660,528,128/72,661,190,906.30
  6. Step 6: Final answer
    x = 108,991,786,359.45

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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.