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Finding the Fourth Proportional to 313,660,680.40, 470,491,020.60 and 288,578,414.80

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Solution

The fourth proportional to 313,660,680.40, 470,491,020.60 and 288,578,414.80 is: 432,867,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,660,680.40 : 470,491,020.60 = 288,578,414.80 : x
  2. Step 2: Convert to fraction form
    313,660,680.40/470,491,020.60 = 288,578,414.80/x
  3. Step 3: Cross multiply
    313,660,680.40x = 470,491,020.60 × 288,578,414.80
  4. Step 4: Simplify right side
    313,660,680.40x = 135,773,552,902,382,160
  5. Step 5: Solve for x
    x = 135,773,552,902,382,160/313,660,680.40
  6. Step 6: Final answer
    x = 432,867,622.20

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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.