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Finding the Fourth Proportional to 313,812,043.20, 470,718,064.80 and 177,763,147.20

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Solution

The fourth proportional to 313,812,043.20, 470,718,064.80 and 177,763,147.20 is: 266,644,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812,043.20 : 470,718,064.80 = 177,763,147.20 : x
  2. Step 2: Convert to fraction form
    313,812,043.20/470,718,064.80 = 177,763,147.20/x
  3. Step 3: Cross multiply
    313,812,043.20x = 470,718,064.80 × 177,763,147.20
  4. Step 4: Simplify right side
    313,812,043.20x = 83,676,324,642,741,536
  5. Step 5: Solve for x
    x = 83,676,324,642,741,536/313,812,043.20
  6. Step 6: Final answer
    x = 266,644,720.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.