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Finding the Fourth Proportional to 54,512,589,632.80, 81,768,884,449.20 and 54,512,589,632.80

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Solution

The fourth proportional to 54,512,589,632.80, 81,768,884,449.20 and 54,512,589,632.80 is: 81,768,884,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512,589,632.80 : 81,768,884,449.20 = 54,512,589,632.80 : x
  2. Step 2: Convert to fraction form
    54,512,589,632.80/81,768,884,449.20 = 54,512,589,632.80/x
  3. Step 3: Cross multiply
    54,512,589,632.80x = 81,768,884,449.20 × 54,512,589,632.80
  4. Step 4: Simplify right side
    54,512,589,632.80x = 4,457,433,642,711,081,025,536
  5. Step 5: Solve for x
    x = 4,457,433,642,711,081,025,536/54,512,589,632.80
  6. Step 6: Final answer
    x = 81,768,884,449.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.