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Finding the Fourth Proportional to 223,863,452,996.40, 335,795,179,494.60 and 223,863,452,996.40

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Solution

The fourth proportional to 223,863,452,996.40, 335,795,179,494.60 and 223,863,452,996.40 is: 335,795,179,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,863,452,996.40 : 335,795,179,494.60 = 223,863,452,996.40 : x
  2. Step 2: Convert to fraction form
    223,863,452,996.40/335,795,179,494.60 = 223,863,452,996.40/x
  3. Step 3: Cross multiply
    223,863,452,996.40x = 335,795,179,494.60 × 223,863,452,996.40
  4. Step 4: Simplify right side
    223,863,452,996.40x = 75,172,268,381,207,080,730,624
  5. Step 5: Solve for x
    x = 75,172,268,381,207,080,730,624/223,863,452,996.40
  6. Step 6: Final answer
    x = 335,795,179,494.60

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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.