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Finding the Fourth Proportional to 351,758,672,003.04, 527,638,008,004.60 and 351,758,672,003.04

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Solution

The fourth proportional to 351,758,672,003.04, 527,638,008,004.60 and 351,758,672,003.04 is: 527,638,008,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,758,672,003.04 : 527,638,008,004.60 = 351,758,672,003.04 : x
  2. Step 2: Convert to fraction form
    351,758,672,003.04/527,638,008,004.60 = 351,758,672,003.04/x
  3. Step 3: Cross multiply
    351,758,672,003.04x = 527,638,008,004.60 × 351,758,672,003.04
  4. Step 4: Simplify right side
    351,758,672,003.04x = 185,601,244,994,027,456,036,864
  5. Step 5: Solve for x
    x = 185,601,244,994,027,456,036,864/351,758,672,003.04
  6. Step 6: Final answer
    x = 527,638,008,004.60

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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.