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Finding the Fourth Proportional to 378,014,946,999.67, 567,022,420,499.55 and 378,014,946,999.67

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Solution

The fourth proportional to 378,014,946,999.67, 567,022,420,499.55 and 378,014,946,999.67 is: 567,022,420,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,014,946,999.67 : 567,022,420,499.55 = 378,014,946,999.67 : x
  2. Step 2: Convert to fraction form
    378,014,946,999.67/567,022,420,499.55 = 378,014,946,999.67/x
  3. Step 3: Cross multiply
    378,014,946,999.67x = 567,022,420,499.55 × 378,014,946,999.67
  4. Step 4: Simplify right side
    378,014,946,999.67x = 214,342,950,232,761,995,100,160
  5. Step 5: Solve for x
    x = 214,342,950,232,761,995,100,160/378,014,946,999.67
  6. Step 6: Final answer
    x = 567,022,420,499.55

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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.