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Finding the Fourth Proportional to 327,564,530,380.28, 491,346,795,570.42 and 327,564,530,380.28

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Solution

The fourth proportional to 327,564,530,380.28, 491,346,795,570.42 and 327,564,530,380.28 is: 491,346,795,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,530,380.28 : 491,346,795,570.42 = 327,564,530,380.28 : x
  2. Step 2: Convert to fraction form
    327,564,530,380.28/491,346,795,570.42 = 327,564,530,380.28/x
  3. Step 3: Cross multiply
    327,564,530,380.28x = 491,346,795,570.42 × 327,564,530,380.28
  4. Step 4: Simplify right side
    327,564,530,380.28x = 160,947,782,344,880,081,076,224
  5. Step 5: Solve for x
    x = 160,947,782,344,880,081,076,224/327,564,530,380.28
  6. Step 6: Final answer
    x = 491,346,795,570.42

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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.