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Finding the Fourth Proportional to 552,876,422.16, 762,964,439.61 and 301,980,761.81

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Solution

The fourth proportional to 552,876,422.16, 762,964,439.61 and 301,980,761.81 is: 416,730,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,876,422.16 : 762,964,439.61 = 301,980,761.81 : x
  2. Step 2: Convert to fraction form
    552,876,422.16/762,964,439.61 = 301,980,761.81/x
  3. Step 3: Cross multiply
    552,876,422.16x = 762,964,439.61 × 301,980,761.81
  4. Step 4: Simplify right side
    552,876,422.16x = 230,400,582,702,042,816
  5. Step 5: Solve for x
    x = 230,400,582,702,042,816/552,876,422.16
  6. Step 6: Final answer
    x = 416,730,707.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.