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Finding the Fourth Proportional to 451,835,569,612.20, 677,753,354,418.30 and 451,835,569,612.20

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Solution

The fourth proportional to 451,835,569,612.20, 677,753,354,418.30 and 451,835,569,612.20 is: 677,753,354,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,835,569,612.20 : 677,753,354,418.30 = 451,835,569,612.20 : x
  2. Step 2: Convert to fraction form
    451,835,569,612.20/677,753,354,418.30 = 451,835,569,612.20/x
  3. Step 3: Cross multiply
    451,835,569,612.20x = 677,753,354,418.30 × 451,835,569,612.20
  4. Step 4: Simplify right side
    451,835,569,612.20x = 306,233,072,950,171,905,556,480
  5. Step 5: Solve for x
    x = 306,233,072,950,171,905,556,480/451,835,569,612.20
  6. Step 6: Final answer
    x = 677,753,354,418.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.