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Finding the Fourth Proportional to 654,964,014.80, 979,461,980.04 and 489,084,006.80

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Solution

The fourth proportional to 654,964,014.80, 979,461,980.04 and 489,084,006.80 is: 731,397,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,964,014.80 : 979,461,980.04 = 489,084,006.80 : x
  2. Step 2: Convert to fraction form
    654,964,014.80/979,461,980.04 = 489,084,006.80/x
  3. Step 3: Cross multiply
    654,964,014.80x = 979,461,980.04 × 489,084,006.80
  4. Step 4: Simplify right side
    654,964,014.80x = 479,039,189,706,224,832
  5. Step 5: Solve for x
    x = 479,039,189,706,224,832/654,964,014.80
  6. Step 6: Final answer
    x = 731,397,723.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.