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Finding the Fourth Proportional to 552,876,427.16, 762,964,446.50 and 301,980,766.80

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Solution

The fourth proportional to 552,876,427.16, 762,964,446.50 and 301,980,766.80 is: 416,730,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,876,427.16 : 762,964,446.50 = 301,980,766.80 : x
  2. Step 2: Convert to fraction form
    552,876,427.16/762,964,446.50 = 301,980,766.80/x
  3. Step 3: Cross multiply
    552,876,427.16x = 762,964,446.50 × 301,980,766.80
  4. Step 4: Simplify right side
    552,876,427.16x = 230,400,588,595,207,584
  5. Step 5: Solve for x
    x = 230,400,588,595,207,584/552,876,427.16
  6. Step 6: Final answer
    x = 416,730,714.63

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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.