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Finding the Fourth Proportional to 329,438,016,164.80, 494,157,024,247.20 and 329,438,016,164.80

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Solution

The fourth proportional to 329,438,016,164.80, 494,157,024,247.20 and 329,438,016,164.80 is: 494,157,024,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,438,016,164.80 : 494,157,024,247.20 = 329,438,016,164.80 : x
  2. Step 2: Convert to fraction form
    329,438,016,164.80/494,157,024,247.20 = 329,438,016,164.80/x
  3. Step 3: Cross multiply
    329,438,016,164.80x = 494,157,024,247.20 × 329,438,016,164.80
  4. Step 4: Simplify right side
    329,438,016,164.80x = 162,794,109,741,898,525,573,120
  5. Step 5: Solve for x
    x = 162,794,109,741,898,525,573,120/329,438,016,164.80
  6. Step 6: Final answer
    x = 494,157,024,247.20

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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.