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Finding the Fourth Proportional to 396,989,269.80, 595,483,904.70 and 233,305,441.80

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Solution

The fourth proportional to 396,989,269.80, 595,483,904.70 and 233,305,441.80 is: 349,958,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,989,269.80 : 595,483,904.70 = 233,305,441.80 : x
  2. Step 2: Convert to fraction form
    396,989,269.80/595,483,904.70 = 233,305,441.80/x
  3. Step 3: Cross multiply
    396,989,269.80x = 595,483,904.70 × 233,305,441.80
  4. Step 4: Simplify right side
    396,989,269.80x = 138,929,635,470,822,608
  5. Step 5: Solve for x
    x = 138,929,635,470,822,608/396,989,269.80
  6. Step 6: Final answer
    x = 349,958,162.70

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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.