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Finding the Fourth Proportional to 299,022,947.80, 448,534,421.70 and 222,495,443.80

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Solution

The fourth proportional to 299,022,947.80, 448,534,421.70 and 222,495,443.80 is: 333,743,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,022,947.80 : 448,534,421.70 = 222,495,443.80 : x
  2. Step 2: Convert to fraction form
    299,022,947.80/448,534,421.70 = 222,495,443.80/x
  3. Step 3: Cross multiply
    299,022,947.80x = 448,534,421.70 × 222,495,443.80
  4. Step 4: Simplify right side
    299,022,947.80x = 99,796,865,215,717,856
  5. Step 5: Solve for x
    x = 99,796,865,215,717,856/299,022,947.80
  6. Step 6: Final answer
    x = 333,743,165.70

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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.