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Finding the Fourth Proportional to 444,871,825.80, 667,307,738.70 and 414,638,737.80

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Solution

The fourth proportional to 444,871,825.80, 667,307,738.70 and 414,638,737.80 is: 621,958,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,871,825.80 : 667,307,738.70 = 414,638,737.80 : x
  2. Step 2: Convert to fraction form
    444,871,825.80/667,307,738.70 = 414,638,737.80/x
  3. Step 3: Cross multiply
    444,871,825.80x = 667,307,738.70 × 414,638,737.80
  4. Step 4: Simplify right side
    444,871,825.80x = 276,691,638,498,740,256
  5. Step 5: Solve for x
    x = 276,691,638,498,740,256/444,871,825.80
  6. Step 6: Final answer
    x = 621,958,106.70

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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.