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Finding the Fourth Proportional to 72,661,190,906.55, 108,991,786,359.83 and 72,661,190,906.55

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Solution

The fourth proportional to 72,661,190,906.55, 108,991,786,359.83 and 72,661,190,906.55 is: 108,991,786,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,661,190,906.55 : 108,991,786,359.83 = 72,661,190,906.55 : x
  2. Step 2: Convert to fraction form
    72,661,190,906.55/108,991,786,359.83 = 72,661,190,906.55/x
  3. Step 3: Cross multiply
    72,661,190,906.55x = 108,991,786,359.83 × 72,661,190,906.55
  4. Step 4: Simplify right side
    72,661,190,906.55x = 7,919,472,995,937,519,927,296
  5. Step 5: Solve for x
    x = 7,919,472,995,937,519,927,296/72,661,190,906.55
  6. Step 6: Final answer
    x = 108,991,786,359.83

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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.