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Finding the Fourth Proportional to 275,280,579,956.04, 412,920,869,934.06 and 275,280,579,956.04

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Solution

The fourth proportional to 275,280,579,956.04, 412,920,869,934.06 and 275,280,579,956.04 is: 412,920,869,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,579,956.04 : 412,920,869,934.06 = 275,280,579,956.04 : x
  2. Step 2: Convert to fraction form
    275,280,579,956.04/412,920,869,934.06 = 275,280,579,956.04/x
  3. Step 3: Cross multiply
    275,280,579,956.04x = 412,920,869,934.06 × 275,280,579,956.04
  4. Step 4: Simplify right side
    275,280,579,956.04x = 113,669,096,551,400,595,259,392
  5. Step 5: Solve for x
    x = 113,669,096,551,400,595,259,392/275,280,579,956.04
  6. Step 6: Final answer
    x = 412,920,869,934.06

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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.