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Finding the Fourth Proportional to 298,996,892.30, 448,495,338.45 and 218,375,324.30

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Solution

The fourth proportional to 298,996,892.30, 448,495,338.45 and 218,375,324.30 is: 327,562,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,996,892.30 : 448,495,338.45 = 218,375,324.30 : x
  2. Step 2: Convert to fraction form
    298,996,892.30/448,495,338.45 = 218,375,324.30/x
  3. Step 3: Cross multiply
    298,996,892.30x = 448,495,338.45 × 218,375,324.30
  4. Step 4: Simplify right side
    298,996,892.30x = 97,940,314,981,057,008
  5. Step 5: Solve for x
    x = 97,940,314,981,057,008/298,996,892.30
  6. Step 6: Final answer
    x = 327,562,986.45

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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.