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Finding the Fourth Proportional to 664,467,404.70, 996,701,107.05 and 664,467,404.70

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Solution

The fourth proportional to 664,467,404.70, 996,701,107.05 and 664,467,404.70 is: 996,701,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,467,404.70 : 996,701,107.05 = 664,467,404.70 : x
  2. Step 2: Convert to fraction form
    664,467,404.70/996,701,107.05 = 664,467,404.70/x
  3. Step 3: Cross multiply
    664,467,404.70x = 996,701,107.05 × 664,467,404.70
  4. Step 4: Simplify right side
    664,467,404.70x = 662,275,397,863,130,368
  5. Step 5: Solve for x
    x = 662,275,397,863,130,368/664,467,404.70
  6. Step 6: Final answer
    x = 996,701,107.05

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Half scale
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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.