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Finding the Fourth Proportional to 234,066,546,072.67, 351,099,819,109.02 and 234,066,546,072.67

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Solution

The fourth proportional to 234,066,546,072.67, 351,099,819,109.02 and 234,066,546,072.67 is: 351,099,819,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,066,546,072.67 : 351,099,819,109.02 = 234,066,546,072.67 : x
  2. Step 2: Convert to fraction form
    234,066,546,072.67/351,099,819,109.02 = 234,066,546,072.67/x
  3. Step 3: Cross multiply
    234,066,546,072.67x = 351,099,819,109.02 × 234,066,546,072.67
  4. Step 4: Simplify right side
    234,066,546,072.67x = 82,180,721,985,587,542,753,280
  5. Step 5: Solve for x
    x = 82,180,721,985,587,542,753,280/234,066,546,072.67
  6. Step 6: Final answer
    x = 351,099,819,109.02

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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.