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Finding the Fourth Proportional to 283,418,244.80, 425,202,016.80 and 101,646,468.80

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Solution

The fourth proportional to 283,418,244.80, 425,202,016.80 and 101,646,468.80 is: 152,496,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,418,244.80 : 425,202,016.80 = 101,646,468.80 : x
  2. Step 2: Convert to fraction form
    283,418,244.80/425,202,016.80 = 101,646,468.80/x
  3. Step 3: Cross multiply
    283,418,244.80x = 425,202,016.80 × 101,646,468.80
  4. Step 4: Simplify right side
    283,418,244.80x = 43,220,283,534,358,272
  5. Step 5: Solve for x
    x = 43,220,283,534,358,272/283,418,244.80
  6. Step 6: Final answer
    x = 152,496,475.89

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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.