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Finding the Fourth Proportional to 664,463,856.60, 996,695,784.90 and 664,463,856.60

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Solution

The fourth proportional to 664,463,856.60, 996,695,784.90 and 664,463,856.60 is: 996,695,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,463,856.60 : 996,695,784.90 = 664,463,856.60 : x
  2. Step 2: Convert to fraction form
    664,463,856.60/996,695,784.90 = 664,463,856.60/x
  3. Step 3: Cross multiply
    664,463,856.60x = 996,695,784.90 × 664,463,856.60
  4. Step 4: Simplify right side
    664,463,856.60x = 662,268,325,091,618,048
  5. Step 5: Solve for x
    x = 662,268,325,091,618,048/664,463,856.60
  6. Step 6: Final answer
    x = 996,695,784.90

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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.