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Finding the Fourth Proportional to 151,382,206,817.40, 227,073,310,226.10 and 151,382,206,817.40

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Solution

The fourth proportional to 151,382,206,817.40, 227,073,310,226.10 and 151,382,206,817.40 is: 227,073,310,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,382,206,817.40 : 227,073,310,226.10 = 151,382,206,817.40 : x
  2. Step 2: Convert to fraction form
    151,382,206,817.40/227,073,310,226.10 = 151,382,206,817.40/x
  3. Step 3: Cross multiply
    151,382,206,817.40x = 227,073,310,226.10 × 151,382,206,817.40
  4. Step 4: Simplify right side
    151,382,206,817.40x = 34,374,858,811,359,098,830,848
  5. Step 5: Solve for x
    x = 34,374,858,811,359,098,830,848/151,382,206,817.40
  6. Step 6: Final answer
    x = 227,073,310,226.10

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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.