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Finding the Fourth Proportional to 298,996,864.80, 448,495,297.20 and 218,375,296.80

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Solution

The fourth proportional to 298,996,864.80, 448,495,297.20 and 218,375,296.80 is: 327,562,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,996,864.80 : 448,495,297.20 = 218,375,296.80 : x
  2. Step 2: Convert to fraction form
    298,996,864.80/448,495,297.20 = 218,375,296.80/x
  3. Step 3: Cross multiply
    298,996,864.80x = 448,495,297.20 × 218,375,296.80
  4. Step 4: Simplify right side
    298,996,864.80x = 97,940,293,639,454,208
  5. Step 5: Solve for x
    x = 97,940,293,639,454,208/298,996,864.80
  6. Step 6: Final answer
    x = 327,562,945.20

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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.