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Finding the Fourth Proportional to 49,773,204,003.20, 74,659,806,004.80 and 49,773,204,003.20

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Solution

The fourth proportional to 49,773,204,003.20, 74,659,806,004.80 and 49,773,204,003.20 is: 74,659,806,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,773,204,003.20 : 74,659,806,004.80 = 49,773,204,003.20 : x
  2. Step 2: Convert to fraction form
    49,773,204,003.20/74,659,806,004.80 = 49,773,204,003.20/x
  3. Step 3: Cross multiply
    49,773,204,003.20x = 74,659,806,004.80 × 49,773,204,003.20
  4. Step 4: Simplify right side
    49,773,204,003.20x = 3,716,057,755,116,246,663,168
  5. Step 5: Solve for x
    x = 3,716,057,755,116,246,663,168/49,773,204,003.20
  6. Step 6: Final answer
    x = 74,659,806,004.80

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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.