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Finding the Fourth Proportional to 823,469,173,821.90, 1,235,203,760,732.90 and 823,469,173,821.90

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Solution

The fourth proportional to 823,469,173,821.90, 1,235,203,760,732.90 and 823,469,173,821.90 is: 1,235,203,760,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,469,173,821.90 : 1,235,203,760,732.90 = 823,469,173,821.90 : x
  2. Step 2: Convert to fraction form
    823,469,173,821.90/1,235,203,760,732.90 = 823,469,173,821.90/x
  3. Step 3: Cross multiply
    823,469,173,821.90x = 1,235,203,760,732.90 × 823,469,173,821.90
  4. Step 4: Simplify right side
    823,469,173,821.90x = 1,017,152,220,352,424,890,597,376
  5. Step 5: Solve for x
    x = 1,017,152,220,352,424,890,597,376/823,469,173,821.90
  6. Step 6: Final answer
    x = 1,235,203,760,732.90

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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.