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Finding the Fourth Proportional to 984,312,933.60, 1,476,469,400.40 and 969,007,432.80

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Solution

The fourth proportional to 984,312,933.60, 1,476,469,400.40 and 969,007,432.80 is: 1,453,511,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,312,933.60 : 1,476,469,400.40 = 969,007,432.80 : x
  2. Step 2: Convert to fraction form
    984,312,933.60/1,476,469,400.40 = 969,007,432.80/x
  3. Step 3: Cross multiply
    984,312,933.60x = 1,476,469,400.40 × 969,007,432.80
  4. Step 4: Simplify right side
    984,312,933.60x = 1,430,709,823,289,359,360
  5. Step 5: Solve for x
    x = 1,430,709,823,289,359,360/984,312,933.60
  6. Step 6: Final answer
    x = 1,453,511,149.20

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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.