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Finding the Fourth Proportional to 297,489,022.80, 446,233,534.20 and 297,489,022.80

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Solution

The fourth proportional to 297,489,022.80, 446,233,534.20 and 297,489,022.80 is: 446,233,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,489,022.80 : 446,233,534.20 = 297,489,022.80 : x
  2. Step 2: Convert to fraction form
    297,489,022.80/446,233,534.20 = 297,489,022.80/x
  3. Step 3: Cross multiply
    297,489,022.80x = 446,233,534.20 × 297,489,022.80
  4. Step 4: Simplify right side
    297,489,022.80x = 132,749,578,029,748,384
  5. Step 5: Solve for x
    x = 132,749,578,029,748,384/297,489,022.80
  6. Step 6: Final answer
    x = 446,233,534.20

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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.