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Finding the Fourth Proportional to 697,187,608.56, 1,044,802,639.08 and 550,978,418.16

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Solution

The fourth proportional to 697,187,608.56, 1,044,802,639.08 and 550,978,418.16 is: 825,694,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,187,608.56 : 1,044,802,639.08 = 550,978,418.16 : x
  2. Step 2: Convert to fraction form
    697,187,608.56/1,044,802,639.08 = 550,978,418.16/x
  3. Step 3: Cross multiply
    697,187,608.56x = 1,044,802,639.08 × 550,978,418.16
  4. Step 4: Simplify right side
    697,187,608.56x = 575,663,705,369,691,776
  5. Step 5: Solve for x
    x = 575,663,705,369,691,776/697,187,608.56
  6. Step 6: Final answer
    x = 825,694,114.90

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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.