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Finding the Fourth Proportional to 764,894,728.20, 1,146,491,786.70 and 420,095,807.40

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Solution

The fourth proportional to 764,894,728.20, 1,146,491,786.70 and 420,095,807.40 is: 629,676,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,894,728.20 : 1,146,491,786.70 = 420,095,807.40 : x
  2. Step 2: Convert to fraction form
    764,894,728.20/1,146,491,786.70 = 420,095,807.40/x
  3. Step 3: Cross multiply
    764,894,728.20x = 1,146,491,786.70 × 420,095,807.40
  4. Step 4: Simplify right side
    764,894,728.20x = 481,636,392,811,205,056
  5. Step 5: Solve for x
    x = 481,636,392,811,205,056/764,894,728.20
  6. Step 6: Final answer
    x = 629,676,705.90

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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.