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Finding the Fourth Proportional to 601,591,213,233.80, 902,386,819,850.70 and 601,591,213,233.80

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Solution

The fourth proportional to 601,591,213,233.80, 902,386,819,850.70 and 601,591,213,233.80 is: 902,386,819,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,591,213,233.80 : 902,386,819,850.70 = 601,591,213,233.80 : x
  2. Step 2: Convert to fraction form
    601,591,213,233.80/902,386,819,850.70 = 601,591,213,233.80/x
  3. Step 3: Cross multiply
    601,591,213,233.80x = 902,386,819,850.70 × 601,591,213,233.80
  4. Step 4: Simplify right side
    601,591,213,233.80x = 542,867,981,760,173,122,256,896
  5. Step 5: Solve for x
    x = 542,867,981,760,173,122,256,896/601,591,213,233.80
  6. Step 6: Final answer
    x = 902,386,819,850.70

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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.