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Finding the Fourth Proportional to 33,601,187,720.65, 50,401,781,580.98 and 33,601,187,720.65

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Solution

The fourth proportional to 33,601,187,720.65, 50,401,781,580.98 and 33,601,187,720.65 is: 50,401,781,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,601,187,720.65 : 50,401,781,580.98 = 33,601,187,720.65 : x
  2. Step 2: Convert to fraction form
    33,601,187,720.65/50,401,781,580.98 = 33,601,187,720.65/x
  3. Step 3: Cross multiply
    33,601,187,720.65x = 50,401,781,580.98 × 33,601,187,720.65
  4. Step 4: Simplify right side
    33,601,187,720.65x = 1,693,559,724,357,540,642,816
  5. Step 5: Solve for x
    x = 1,693,559,724,357,540,642,816/33,601,187,720.65
  6. Step 6: Final answer
    x = 50,401,781,580.98

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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.