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Finding the Fourth Proportional to 275,280,646,642.21, 412,920,969,963.30 and 275,280,646,642.21

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Solution

The fourth proportional to 275,280,646,642.21, 412,920,969,963.30 and 275,280,646,642.21 is: 412,920,969,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,646,642.21 : 412,920,969,963.30 = 275,280,646,642.21 : x
  2. Step 2: Convert to fraction form
    275,280,646,642.21/412,920,969,963.30 = 275,280,646,642.21/x
  3. Step 3: Cross multiply
    275,280,646,642.21x = 412,920,969,963.30 × 275,280,646,642.21
  4. Step 4: Simplify right side
    275,280,646,642.21x = 113,669,151,623,625,794,650,112
  5. Step 5: Solve for x
    x = 113,669,151,623,625,794,650,112/275,280,646,642.21
  6. Step 6: Final answer
    x = 412,920,969,963.30

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1.5x scale

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.