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Finding the Fourth Proportional to 6,644,997,694.70, 9,967,496,542.05 and 6,644,997,694.70

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Solution

The fourth proportional to 6,644,997,694.70, 9,967,496,542.05 and 6,644,997,694.70 is: 9,967,496,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,997,694.70 : 9,967,496,542.05 = 6,644,997,694.70 : x
  2. Step 2: Convert to fraction form
    6,644,997,694.70/9,967,496,542.05 = 6,644,997,694.70/x
  3. Step 3: Cross multiply
    6,644,997,694.70x = 9,967,496,542.05 × 6,644,997,694.70
  4. Step 4: Simplify right side
    6,644,997,694.70x = 66,233,991,543,852,466,176
  5. Step 5: Solve for x
    x = 66,233,991,543,852,466,176/6,644,997,694.70
  6. Step 6: Final answer
    x = 9,967,496,542.05

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Double scale
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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.