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Finding the Fourth Proportional to 548,979,453,780.50, 823,469,180,670.75 and 548,979,453,780.50

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Solution

The fourth proportional to 548,979,453,780.50, 823,469,180,670.75 and 548,979,453,780.50 is: 823,469,180,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,979,453,780.50 : 823,469,180,670.75 = 548,979,453,780.50 : x
  2. Step 2: Convert to fraction form
    548,979,453,780.50/823,469,180,670.75 = 548,979,453,780.50/x
  3. Step 3: Cross multiply
    548,979,453,780.50x = 823,469,180,670.75 × 548,979,453,780.50
  4. Step 4: Simplify right side
    548,979,453,780.50x = 452,067,661,009,704,173,174,784
  5. Step 5: Solve for x
    x = 452,067,661,009,704,173,174,784/548,979,453,780.50
  6. Step 6: Final answer
    x = 823,469,180,670.75

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Double scale
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Similar ratio
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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.