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Finding the Fourth Proportional to 33,182,135,999.80, 49,773,203,999.70 and 33,182,135,999.80

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Solution

The fourth proportional to 33,182,135,999.80, 49,773,203,999.70 and 33,182,135,999.80 is: 49,773,203,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182,135,999.80 : 49,773,203,999.70 = 33,182,135,999.80 : x
  2. Step 2: Convert to fraction form
    33,182,135,999.80/49,773,203,999.70 = 33,182,135,999.80/x
  3. Step 3: Cross multiply
    33,182,135,999.80x = 49,773,203,999.70 × 33,182,135,999.80
  4. Step 4: Simplify right side
    33,182,135,999.80x = 1,651,581,224,263,834,664,960
  5. Step 5: Solve for x
    x = 1,651,581,224,263,834,664,960/33,182,135,999.80
  6. Step 6: Final answer
    x = 49,773,203,999.70

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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.