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Finding the Fourth Proportional to 279,660,994.60, 419,491,491.90 and 252,451,215.40

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Solution

The fourth proportional to 279,660,994.60, 419,491,491.90 and 252,451,215.40 is: 378,676,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,660,994.60 : 419,491,491.90 = 252,451,215.40 : x
  2. Step 2: Convert to fraction form
    279,660,994.60/419,491,491.90 = 252,451,215.40/x
  3. Step 3: Cross multiply
    279,660,994.60x = 419,491,491.90 × 252,451,215.40
  4. Step 4: Simplify right side
    279,660,994.60x = 105,901,136,980,114,256
  5. Step 5: Solve for x
    x = 105,901,136,980,114,256/279,660,994.60
  6. Step 6: Final answer
    x = 378,676,823.10

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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.