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Finding the Fourth Proportional to 768,377,074.91, 1,151,919,747.53 and 622,448,751.47

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Solution

The fourth proportional to 768,377,074.91, 1,151,919,747.53 and 622,448,751.47 is: 933,149,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,377,074.91 : 1,151,919,747.53 = 622,448,751.47 : x
  2. Step 2: Convert to fraction form
    768,377,074.91/1,151,919,747.53 = 622,448,751.47/x
  3. Step 3: Cross multiply
    768,377,074.91x = 1,151,919,747.53 × 622,448,751.47
  4. Step 4: Simplify right side
    768,377,074.91x = 717,011,008,645,756,800
  5. Step 5: Solve for x
    x = 717,011,008,645,756,800/768,377,074.91
  6. Step 6: Final answer
    x = 933,149,923.46

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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.