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Finding the Fourth Proportional to 280,073,231.70, 420,109,847.55 and 198,284,461.80

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Solution

The fourth proportional to 280,073,231.70, 420,109,847.55 and 198,284,461.80 is: 297,426,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,073,231.70 : 420,109,847.55 = 198,284,461.80 : x
  2. Step 2: Convert to fraction form
    280,073,231.70/420,109,847.55 = 198,284,461.80/x
  3. Step 3: Cross multiply
    280,073,231.70x = 420,109,847.55 × 198,284,461.80
  4. Step 4: Simplify right side
    280,073,231.70x = 83,301,255,018,331,808
  5. Step 5: Solve for x
    x = 83,301,255,018,331,808/280,073,231.70
  6. Step 6: Final answer
    x = 297,426,692.70

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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.