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Finding the Fourth Proportional to 280,039,398.40, 420,059,097.60 and 242,290,662.40

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Solution

The fourth proportional to 280,039,398.40, 420,059,097.60 and 242,290,662.40 is: 363,435,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,039,398.40 : 420,059,097.60 = 242,290,662.40 : x
  2. Step 2: Convert to fraction form
    280,039,398.40/420,059,097.60 = 242,290,662.40/x
  3. Step 3: Cross multiply
    280,039,398.40x = 420,059,097.60 × 242,290,662.40
  4. Step 4: Simplify right side
    280,039,398.40x = 101,776,397,004,650,256
  5. Step 5: Solve for x
    x = 101,776,397,004,650,256/280,039,398.40
  6. Step 6: Final answer
    x = 363,435,993.60

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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.