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Finding the Fourth Proportional to 16,341,268,534.20, 24,511,902,801.30 and 16,341,268,534.20

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Solution

The fourth proportional to 16,341,268,534.20, 24,511,902,801.30 and 16,341,268,534.20 is: 24,511,902,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341,268,534.20 : 24,511,902,801.30 = 16,341,268,534.20 : x
  2. Step 2: Convert to fraction form
    16,341,268,534.20/24,511,902,801.30 = 16,341,268,534.20/x
  3. Step 3: Cross multiply
    16,341,268,534.20x = 24,511,902,801.30 × 16,341,268,534.20
  4. Step 4: Simplify right side
    16,341,268,534.20x = 400,555,585,960,252,538,880
  5. Step 5: Solve for x
    x = 400,555,585,960,252,538,880/16,341,268,534.20
  6. Step 6: Final answer
    x = 24,511,902,801.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.