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Finding the Fourth Proportional to 343,874,206.80, 515,811,310.20 and 221,430,200.40

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Solution

The fourth proportional to 343,874,206.80, 515,811,310.20 and 221,430,200.40 is: 332,145,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,874,206.80 : 515,811,310.20 = 221,430,200.40 : x
  2. Step 2: Convert to fraction form
    343,874,206.80/515,811,310.20 = 221,430,200.40/x
  3. Step 3: Cross multiply
    343,874,206.80x = 515,811,310.20 × 221,430,200.40
  4. Step 4: Simplify right side
    343,874,206.80x = 114,216,201,786,172,560
  5. Step 5: Solve for x
    x = 114,216,201,786,172,560/343,874,206.80
  6. Step 6: Final answer
    x = 332,145,300.60

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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.