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Finding the Fourth Proportional to 280,509,381.64, 420,764,074.08 and 76,037,456.08

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Solution

The fourth proportional to 280,509,381.64, 420,764,074.08 and 76,037,456.08 is: 114,056,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509,381.64 : 420,764,074.08 = 76,037,456.08 : x
  2. Step 2: Convert to fraction form
    280,509,381.64/420,764,074.08 = 76,037,456.08/x
  3. Step 3: Cross multiply
    280,509,381.64x = 420,764,074.08 × 76,037,456.08
  4. Step 4: Simplify right side
    280,509,381.64x = 31,993,829,802,899,864
  5. Step 5: Solve for x
    x = 31,993,829,802,899,864/280,509,381.64
  6. Step 6: Final answer
    x = 114,056,184.56

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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.