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Finding the Fourth Proportional to 297,931,394,410.80, 446,897,091,616.20 and 297,931,394,410.80

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Solution

The fourth proportional to 297,931,394,410.80, 446,897,091,616.20 and 297,931,394,410.80 is: 446,897,091,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,931,394,410.80 : 446,897,091,616.20 = 297,931,394,410.80 : x
  2. Step 2: Convert to fraction form
    297,931,394,410.80/446,897,091,616.20 = 297,931,394,410.80/x
  3. Step 3: Cross multiply
    297,931,394,410.80x = 446,897,091,616.20 × 297,931,394,410.80
  4. Step 4: Simplify right side
    297,931,394,410.80x = 133,144,673,663,345,498,259,456
  5. Step 5: Solve for x
    x = 133,144,673,663,345,498,259,456/297,931,394,410.80
  6. Step 6: Final answer
    x = 446,897,091,616.20

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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.