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Finding the Fourth Proportional to 227,073,310,233.60, 340,609,965,350.40 and 227,073,310,233.60

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Solution

The fourth proportional to 227,073,310,233.60, 340,609,965,350.40 and 227,073,310,233.60 is: 340,609,965,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,073,310,233.60 : 340,609,965,350.40 = 227,073,310,233.60 : x
  2. Step 2: Convert to fraction form
    227,073,310,233.60/340,609,965,350.40 = 227,073,310,233.60/x
  3. Step 3: Cross multiply
    227,073,310,233.60x = 340,609,965,350.40 × 227,073,310,233.60
  4. Step 4: Simplify right side
    227,073,310,233.60x = 77,343,432,330,667,131,666,432
  5. Step 5: Solve for x
    x = 77,343,432,330,667,131,666,432/227,073,310,233.60
  6. Step 6: Final answer
    x = 340,609,965,350.40

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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.