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Finding the Fourth Proportional to 224,668,847.80, 337,003,271.70 and 199,586,582.20

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Solution

The fourth proportional to 224,668,847.80, 337,003,271.70 and 199,586,582.20 is: 299,379,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,668,847.80 : 337,003,271.70 = 199,586,582.20 : x
  2. Step 2: Convert to fraction form
    224,668,847.80/337,003,271.70 = 199,586,582.20/x
  3. Step 3: Cross multiply
    224,668,847.80x = 337,003,271.70 × 199,586,582.20
  4. Step 4: Simplify right side
    224,668,847.80x = 67,261,331,188,820,976
  5. Step 5: Solve for x
    x = 67,261,331,188,820,976/224,668,847.80
  6. Step 6: Final answer
    x = 299,379,873.30

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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.