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Finding the Fourth Proportional to 279,936,802.80, 419,905,204.20 and 85,846,676.40

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Solution

The fourth proportional to 279,936,802.80, 419,905,204.20 and 85,846,676.40 is: 128,770,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,802.80 : 419,905,204.20 = 85,846,676.40 : x
  2. Step 2: Convert to fraction form
    279,936,802.80/419,905,204.20 = 85,846,676.40/x
  3. Step 3: Cross multiply
    279,936,802.80x = 419,905,204.20 × 85,846,676.40
  4. Step 4: Simplify right side
    279,936,802.80x = 36,047,466,183,633,320
  5. Step 5: Solve for x
    x = 36,047,466,183,633,320/279,936,802.80
  6. Step 6: Final answer
    x = 128,770,014.60

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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.