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Finding the Fourth Proportional to 9,296,308,906.35, 13,944,463,359.53 and 9,296,308,906.35

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Solution

The fourth proportional to 9,296,308,906.35, 13,944,463,359.53 and 9,296,308,906.35 is: 13,944,463,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,308,906.35 : 13,944,463,359.53 = 9,296,308,906.35 : x
  2. Step 2: Convert to fraction form
    9,296,308,906.35/13,944,463,359.53 = 9,296,308,906.35/x
  3. Step 3: Cross multiply
    9,296,308,906.35x = 13,944,463,359.53 × 9,296,308,906.35
  4. Step 4: Simplify right side
    9,296,308,906.35x = 129,632,038,923,469,996,032
  5. Step 5: Solve for x
    x = 129,632,038,923,469,996,032/9,296,308,906.35
  6. Step 6: Final answer
    x = 13,944,463,359.53

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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.