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Finding the Fourth Proportional to 115,893,641,896.30, 173,840,462,844.45 and 115,893,641,896.30

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Solution

The fourth proportional to 115,893,641,896.30, 173,840,462,844.45 and 115,893,641,896.30 is: 173,840,462,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893,641,896.30 : 173,840,462,844.45 = 115,893,641,896.30 : x
  2. Step 2: Convert to fraction form
    115,893,641,896.30/173,840,462,844.45 = 115,893,641,896.30/x
  3. Step 3: Cross multiply
    115,893,641,896.30x = 173,840,462,844.45 × 115,893,641,896.30
  4. Step 4: Simplify right side
    115,893,641,896.30x = 20,147,004,347,981,735,395,328
  5. Step 5: Solve for x
    x = 20,147,004,347,981,735,395,328/115,893,641,896.30
  6. Step 6: Final answer
    x = 173,840,462,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.