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Finding the Fourth Proportional to 280,048,966.23, 420,073,449.34 and 280,048,966.23

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Solution

The fourth proportional to 280,048,966.23, 420,073,449.34 and 280,048,966.23 is: 420,073,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,048,966.23 : 420,073,449.34 = 280,048,966.23 : x
  2. Step 2: Convert to fraction form
    280,048,966.23/420,073,449.34 = 280,048,966.23/x
  3. Step 3: Cross multiply
    280,048,966.23x = 420,073,449.34 × 280,048,966.23
  4. Step 4: Simplify right side
    280,048,966.23x = 117,641,135,226,236,912
  5. Step 5: Solve for x
    x = 117,641,135,226,236,912/280,048,966.23
  6. Step 6: Final answer
    x = 420,073,449.34

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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.