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Finding the Fourth Proportional to 280,314,561.60, 420,471,842.40 and 280,314,561.60

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Solution

The fourth proportional to 280,314,561.60, 420,471,842.40 and 280,314,561.60 is: 420,471,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,314,561.60 : 420,471,842.40 = 280,314,561.60 : x
  2. Step 2: Convert to fraction form
    280,314,561.60/420,471,842.40 = 280,314,561.60/x
  3. Step 3: Cross multiply
    280,314,561.60x = 420,471,842.40 × 280,314,561.60
  4. Step 4: Simplify right side
    280,314,561.60x = 117,864,380,167,500,288
  5. Step 5: Solve for x
    x = 117,864,380,167,500,288/280,314,561.60
  6. Step 6: Final answer
    x = 420,471,842.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.