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Finding the Fourth Proportional to 332,563,967,999.78, 498,845,951,999.67 and 332,563,967,999.78

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Solution

The fourth proportional to 332,563,967,999.78, 498,845,951,999.67 and 332,563,967,999.78 is: 498,845,951,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,563,967,999.78 : 498,845,951,999.67 = 332,563,967,999.78 : x
  2. Step 2: Convert to fraction form
    332,563,967,999.78/498,845,951,999.67 = 332,563,967,999.78/x
  3. Step 3: Cross multiply
    332,563,967,999.78x = 498,845,951,999.67 × 332,563,967,999.78
  4. Step 4: Simplify right side
    332,563,967,999.78x = 165,898,189,217,638,064,848,896
  5. Step 5: Solve for x
    x = 165,898,189,217,638,064,848,896/332,563,967,999.78
  6. Step 6: Final answer
    x = 498,845,951,999.67

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1.5x scale

Why These Related Problems?

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