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Finding the Fourth Proportional to 280,039,452.40, 420,059,178.60 and 242,290,716.40

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Solution

The fourth proportional to 280,039,452.40, 420,059,178.60 and 242,290,716.40 is: 363,436,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,039,452.40 : 420,059,178.60 = 242,290,716.40 : x
  2. Step 2: Convert to fraction form
    280,039,452.40/420,059,178.60 = 242,290,716.40/x
  3. Step 3: Cross multiply
    280,039,452.40x = 420,059,178.60 × 242,290,716.40
  4. Step 4: Simplify right side
    280,039,452.40x = 101,776,439,313,389,552
  5. Step 5: Solve for x
    x = 101,776,439,313,389,552/280,039,452.40
  6. Step 6: Final answer
    x = 363,436,074.60

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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.