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Finding the Fourth Proportional to 275,685,460.80, 413,024,306.40 and 224,289,211.20

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Solution

The fourth proportional to 275,685,460.80, 413,024,306.40 and 224,289,211.20 is: 336,023,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,685,460.80 : 413,024,306.40 = 224,289,211.20 : x
  2. Step 2: Convert to fraction form
    275,685,460.80/413,024,306.40 = 224,289,211.20/x
  3. Step 3: Cross multiply
    275,685,460.80x = 413,024,306.40 × 224,289,211.20
  4. Step 4: Simplify right side
    275,685,460.80x = 92,636,895,888,883,104
  5. Step 5: Solve for x
    x = 92,636,895,888,883,104/275,685,460.80
  6. Step 6: Final answer
    x = 336,023,871.63

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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.