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Finding the Fourth Proportional to 454,088,409,750.20, 681,132,614,625.30 and 454,088,409,750.20

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Solution

The fourth proportional to 454,088,409,750.20, 681,132,614,625.30 and 454,088,409,750.20 is: 681,132,614,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,088,409,750.20 : 681,132,614,625.30 = 454,088,409,750.20 : x
  2. Step 2: Convert to fraction form
    454,088,409,750.20/681,132,614,625.30 = 454,088,409,750.20/x
  3. Step 3: Cross multiply
    454,088,409,750.20x = 681,132,614,625.30 × 454,088,409,750.20
  4. Step 4: Simplify right side
    454,088,409,750.20x = 309,294,425,804,198,308,216,832
  5. Step 5: Solve for x
    x = 309,294,425,804,198,308,216,832/454,088,409,750.20
  6. Step 6: Final answer
    x = 681,132,614,625.30

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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.