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Finding the Fourth Proportional to 280,882,014.80, 420,501,876.60 and 200,260,446.80

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Solution

The fourth proportional to 280,882,014.80, 420,501,876.60 and 200,260,446.80 is: 299,805,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,882,014.80 : 420,501,876.60 = 200,260,446.80 : x
  2. Step 2: Convert to fraction form
    280,882,014.80/420,501,876.60 = 200,260,446.80/x
  3. Step 3: Cross multiply
    280,882,014.80x = 420,501,876.60 × 200,260,446.80
  4. Step 4: Simplify right side
    280,882,014.80x = 84,209,893,688,154,480
  5. Step 5: Solve for x
    x = 84,209,893,688,154,480/280,882,014.80
  6. Step 6: Final answer
    x = 299,805,218.03

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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.