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Finding the Fourth Proportional to 275,280,646,651.21, 412,920,969,976.80 and 275,280,646,651.21

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Solution

The fourth proportional to 275,280,646,651.21, 412,920,969,976.80 and 275,280,646,651.21 is: 412,920,969,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,646,651.21 : 412,920,969,976.80 = 275,280,646,651.21 : x
  2. Step 2: Convert to fraction form
    275,280,646,651.21/412,920,969,976.80 = 275,280,646,651.21/x
  3. Step 3: Cross multiply
    275,280,646,651.21x = 412,920,969,976.80 × 275,280,646,651.21
  4. Step 4: Simplify right side
    275,280,646,651.21x = 113,669,151,631,058,386,550,784
  5. Step 5: Solve for x
    x = 113,669,151,631,058,386,550,784/275,280,646,651.21
  6. Step 6: Final answer
    x = 412,920,969,976.80

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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.