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Finding the Fourth Proportional to 288,805,874.20, 433,208,811.30 and 274,697,099.80

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Solution

The fourth proportional to 288,805,874.20, 433,208,811.30 and 274,697,099.80 is: 412,045,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,805,874.20 : 433,208,811.30 = 274,697,099.80 : x
  2. Step 2: Convert to fraction form
    288,805,874.20/433,208,811.30 = 274,697,099.80/x
  3. Step 3: Cross multiply
    288,805,874.20x = 433,208,811.30 × 274,697,099.80
  4. Step 4: Simplify right side
    288,805,874.20x = 119,001,204,071,915,472
  5. Step 5: Solve for x
    x = 119,001,204,071,915,472/288,805,874.20
  6. Step 6: Final answer
    x = 412,045,649.70

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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.