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Finding the Fourth Proportional to 454,976,998.30, 682,465,497.86 and 454,976,998.30

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Solution

The fourth proportional to 454,976,998.30, 682,465,497.86 and 454,976,998.30 is: 682,465,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,976,998.30 : 682,465,497.86 = 454,976,998.30 : x
  2. Step 2: Convert to fraction form
    454,976,998.30/682,465,497.86 = 454,976,998.30/x
  3. Step 3: Cross multiply
    454,976,998.30x = 682,465,497.86 × 454,976,998.30
  4. Step 4: Simplify right side
    454,976,998.30x = 310,506,103,659,657,920
  5. Step 5: Solve for x
    x = 310,506,103,659,657,920/454,976,998.30
  6. Step 6: Final answer
    x = 682,465,497.86

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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.