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Finding the Fourth Proportional to 442,870,464.80, 664,305,697.20 and 442,870,464.80

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Solution

The fourth proportional to 442,870,464.80, 664,305,697.20 and 442,870,464.80 is: 664,305,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,870,464.80 : 664,305,697.20 = 442,870,464.80 : x
  2. Step 2: Convert to fraction form
    442,870,464.80/664,305,697.20 = 442,870,464.80/x
  3. Step 3: Cross multiply
    442,870,464.80x = 664,305,697.20 × 442,870,464.80
  4. Step 4: Simplify right side
    442,870,464.80x = 294,201,372,888,252,096
  5. Step 5: Solve for x
    x = 294,201,372,888,252,096/442,870,464.80
  6. Step 6: Final answer
    x = 664,305,697.20

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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.