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Finding the Fourth Proportional to 458,419,206.80, 686,117,155.80 and 322,370,310.80

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Solution

The fourth proportional to 458,419,206.80, 686,117,155.80 and 322,370,310.80 is: 482,492,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,419,206.80 : 686,117,155.80 = 322,370,310.80 : x
  2. Step 2: Convert to fraction form
    458,419,206.80/686,117,155.80 = 322,370,310.80/x
  3. Step 3: Cross multiply
    458,419,206.80x = 686,117,155.80 × 322,370,310.80
  4. Step 4: Simplify right side
    458,419,206.80x = 221,183,800,760,458,016
  5. Step 5: Solve for x
    x = 221,183,800,760,458,016/458,419,206.80
  6. Step 6: Final answer
    x = 482,492,438.10

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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.