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Finding the Fourth Proportional to 275,280,581,858.05, 412,920,872,787.07 and 275,280,581,858.05

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Solution

The fourth proportional to 275,280,581,858.05, 412,920,872,787.07 and 275,280,581,858.05 is: 412,920,872,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,581,858.05 : 412,920,872,787.07 = 275,280,581,858.05 : x
  2. Step 2: Convert to fraction form
    275,280,581,858.05/412,920,872,787.07 = 275,280,581,858.05/x
  3. Step 3: Cross multiply
    275,280,581,858.05x = 412,920,872,787.07 × 275,280,581,858.05
  4. Step 4: Simplify right side
    275,280,581,858.05x = 113,669,098,122,158,467,448,832
  5. Step 5: Solve for x
    x = 113,669,098,122,158,467,448,832/275,280,581,858.05
  6. Step 6: Final answer
    x = 412,920,872,787.07

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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.