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Finding the Fourth Proportional to 409,709,019.20, 614,563,528.80 and 179,788,251.20

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Solution

The fourth proportional to 409,709,019.20, 614,563,528.80 and 179,788,251.20 is: 269,682,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,709,019.20 : 614,563,528.80 = 179,788,251.20 : x
  2. Step 2: Convert to fraction form
    409,709,019.20/614,563,528.80 = 179,788,251.20/x
  3. Step 3: Cross multiply
    409,709,019.20x = 614,563,528.80 × 179,788,251.20
  4. Step 4: Simplify right side
    409,709,019.20x = 110,491,302,094,252,816
  5. Step 5: Solve for x
    x = 110,491,302,094,252,816/409,709,019.20
  6. Step 6: Final answer
    x = 269,682,376.80

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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.