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Finding the Fourth Proportional to 891,728,310.98, 1,230,600,287.39 and 489,859,012.82

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Solution

The fourth proportional to 891,728,310.98, 1,230,600,287.39 and 489,859,012.82 is: 676,013,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,728,310.98 : 1,230,600,287.39 = 489,859,012.82 : x
  2. Step 2: Convert to fraction form
    891,728,310.98/1,230,600,287.39 = 489,859,012.82/x
  3. Step 3: Cross multiply
    891,728,310.98x = 1,230,600,287.39 × 489,859,012.82
  4. Step 4: Simplify right side
    891,728,310.98x = 602,820,641,948,271,360
  5. Step 5: Solve for x
    x = 602,820,641,948,271,360/891,728,310.98
  6. Step 6: Final answer
    x = 676,013,797.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.