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Finding the Fourth Proportional to 493,867,333.80, 740,801,000.70 and 310,201,324.20

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Solution

The fourth proportional to 493,867,333.80, 740,801,000.70 and 310,201,324.20 is: 465,301,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,867,333.80 : 740,801,000.70 = 310,201,324.20 : x
  2. Step 2: Convert to fraction form
    493,867,333.80/740,801,000.70 = 310,201,324.20/x
  3. Step 3: Cross multiply
    493,867,333.80x = 740,801,000.70 × 310,201,324.20
  4. Step 4: Simplify right side
    493,867,333.80x = 229,797,451,385,825,120
  5. Step 5: Solve for x
    x = 229,797,451,385,825,120/493,867,333.80
  6. Step 6: Final answer
    x = 465,301,986.30

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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.