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Finding the Fourth Proportional to 327,446,437,991.40, 491,169,656,987.08 and 327,446,437,991.40

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Solution

The fourth proportional to 327,446,437,991.40, 491,169,656,987.08 and 327,446,437,991.40 is: 491,169,656,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,446,437,991.40 : 491,169,656,987.08 = 327,446,437,991.40 : x
  2. Step 2: Convert to fraction form
    327,446,437,991.40/491,169,656,987.08 = 327,446,437,991.40/x
  3. Step 3: Cross multiply
    327,446,437,991.40x = 491,169,656,987.08 × 327,446,437,991.40
  4. Step 4: Simplify right side
    327,446,437,991.40x = 160,831,754,629,877,115,912,192
  5. Step 5: Solve for x
    x = 160,831,754,629,877,115,912,192/327,446,437,991.40
  6. Step 6: Final answer
    x = 491,169,656,987.08

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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.