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Finding the Fourth Proportional to 237,459,981,945.60, 356,189,972,918.40 and 237,459,981,945.60

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Solution

The fourth proportional to 237,459,981,945.60, 356,189,972,918.40 and 237,459,981,945.60 is: 356,189,972,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,459,981,945.60 : 356,189,972,918.40 = 237,459,981,945.60 : x
  2. Step 2: Convert to fraction form
    237,459,981,945.60/356,189,972,918.40 = 237,459,981,945.60/x
  3. Step 3: Cross multiply
    237,459,981,945.60x = 356,189,972,918.40 × 237,459,981,945.60
  4. Step 4: Simplify right side
    237,459,981,945.60x = 84,580,864,538,407,017,119,744
  5. Step 5: Solve for x
    x = 84,580,864,538,407,017,119,744/237,459,981,945.60
  6. Step 6: Final answer
    x = 356,189,972,918.40

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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.