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Finding the Fourth Proportional to 108,972,097,226.70, 163,458,145,840.05 and 108,972,097,226.70

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Solution

The fourth proportional to 108,972,097,226.70, 163,458,145,840.05 and 108,972,097,226.70 is: 163,458,145,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972,097,226.70 : 163,458,145,840.05 = 108,972,097,226.70 : x
  2. Step 2: Convert to fraction form
    108,972,097,226.70/163,458,145,840.05 = 108,972,097,226.70/x
  3. Step 3: Cross multiply
    108,972,097,226.70x = 163,458,145,840.05 × 108,972,097,226.70
  4. Step 4: Simplify right side
    108,972,097,226.70x = 17,812,376,960,978,034,622,464
  5. Step 5: Solve for x
    x = 17,812,376,960,978,034,622,464/108,972,097,226.70
  6. Step 6: Final answer
    x = 163,458,145,840.05

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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.