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Finding the Fourth Proportional to 275,280,584,458.42, 412,920,876,687.64 and 275,280,584,458.42

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Solution

The fourth proportional to 275,280,584,458.42, 412,920,876,687.64 and 275,280,584,458.42 is: 412,920,876,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,584,458.42 : 412,920,876,687.64 = 275,280,584,458.42 : x
  2. Step 2: Convert to fraction form
    275,280,584,458.42/412,920,876,687.64 = 275,280,584,458.42/x
  3. Step 3: Cross multiply
    275,280,584,458.42x = 412,920,876,687.64 × 275,280,584,458.42
  4. Step 4: Simplify right side
    275,280,584,458.42x = 113,669,100,269,656,711,626,752
  5. Step 5: Solve for x
    x = 113,669,100,269,656,711,626,752/275,280,584,458.42
  6. Step 6: Final answer
    x = 412,920,876,687.64

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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.