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Finding the Fourth Proportional to 523,175,706.80, 721,928,271.48 and 322,200,782

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Solution

The fourth proportional to 523,175,706.80, 721,928,271.48 and 322,200,782 is: 444,603,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,175,706.80 : 721,928,271.48 = 322,200,782 : x
  2. Step 2: Convert to fraction form
    523,175,706.80/721,928,271.48 = 322,200,782/x
  3. Step 3: Cross multiply
    523,175,706.80x = 721,928,271.48 × 322,200,782
  4. Step 4: Simplify right side
    523,175,706.80x = 232,605,853,618,764,288
  5. Step 5: Solve for x
    x = 232,605,853,618,764,288/523,175,706.80
  6. Step 6: Final answer
    x = 444,603,697.37

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Why These Related Problems?

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