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Finding the Fourth Proportional to 601,591,213,246.14, 902,386,819,869.23 and 601,591,213,246.14

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Solution

The fourth proportional to 601,591,213,246.14, 902,386,819,869.23 and 601,591,213,246.14 is: 902,386,819,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,591,213,246.14 : 902,386,819,869.23 = 601,591,213,246.14 : x
  2. Step 2: Convert to fraction form
    601,591,213,246.14/902,386,819,869.23 = 601,591,213,246.14/x
  3. Step 3: Cross multiply
    601,591,213,246.14x = 902,386,819,869.23 × 601,591,213,246.14
  4. Step 4: Simplify right side
    601,591,213,246.14x = 542,867,981,782,456,083,677,184
  5. Step 5: Solve for x
    x = 542,867,981,782,456,083,677,184/601,591,213,246.14
  6. Step 6: Final answer
    x = 902,386,819,869.23

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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.