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Finding the Fourth Proportional to 283,987,309.80, 425,980,964.70 and 253,376,308.20

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Solution

The fourth proportional to 283,987,309.80, 425,980,964.70 and 253,376,308.20 is: 380,064,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,987,309.80 : 425,980,964.70 = 253,376,308.20 : x
  2. Step 2: Convert to fraction form
    283,987,309.80/425,980,964.70 = 253,376,308.20/x
  3. Step 3: Cross multiply
    283,987,309.80x = 425,980,964.70 × 253,376,308.20
  4. Step 4: Simplify right side
    283,987,309.80x = 107,933,484,199,160,512
  5. Step 5: Solve for x
    x = 107,933,484,199,160,512/283,987,309.80
  6. Step 6: Final answer
    x = 380,064,462.30

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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.