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Finding the Fourth Proportional to 446,488,052.80, 669,732,079.20 and 323,406,317.20

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Solution

The fourth proportional to 446,488,052.80, 669,732,079.20 and 323,406,317.20 is: 485,109,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,488,052.80 : 669,732,079.20 = 323,406,317.20 : x
  2. Step 2: Convert to fraction form
    446,488,052.80/669,732,079.20 = 323,406,317.20/x
  3. Step 3: Cross multiply
    446,488,052.80x = 669,732,079.20 × 323,406,317.20
  4. Step 4: Simplify right side
    446,488,052.80x = 216,595,585,244,770,720
  5. Step 5: Solve for x
    x = 216,595,585,244,770,720/446,488,052.80
  6. Step 6: Final answer
    x = 485,109,475.80

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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.