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Finding the Fourth Proportional to 223,863,453,008.40, 335,795,179,512.60 and 223,863,453,008.40

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Solution

The fourth proportional to 223,863,453,008.40, 335,795,179,512.60 and 223,863,453,008.40 is: 335,795,179,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,863,453,008.40 : 335,795,179,512.60 = 223,863,453,008.40 : x
  2. Step 2: Convert to fraction form
    223,863,453,008.40/335,795,179,512.60 = 223,863,453,008.40/x
  3. Step 3: Cross multiply
    223,863,453,008.40x = 335,795,179,512.60 × 223,863,453,008.40
  4. Step 4: Simplify right side
    223,863,453,008.40x = 75,172,268,389,266,167,431,168
  5. Step 5: Solve for x
    x = 75,172,268,389,266,167,431,168/223,863,453,008.40
  6. Step 6: Final answer
    x = 335,795,179,512.60

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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.