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Finding the Fourth Proportional to 61,296,801,979.80, 91,945,202,969.70 and 61,296,801,979.80

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Solution

The fourth proportional to 61,296,801,979.80, 91,945,202,969.70 and 61,296,801,979.80 is: 91,945,202,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,296,801,979.80 : 91,945,202,969.70 = 61,296,801,979.80 : x
  2. Step 2: Convert to fraction form
    61,296,801,979.80/91,945,202,969.70 = 61,296,801,979.80/x
  3. Step 3: Cross multiply
    61,296,801,979.80x = 91,945,202,969.70 × 61,296,801,979.80
  4. Step 4: Simplify right side
    61,296,801,979.80x = 5,635,946,899,426,219,393,024
  5. Step 5: Solve for x
    x = 5,635,946,899,426,219,393,024/61,296,801,979.80
  6. Step 6: Final answer
    x = 91,945,202,969.70

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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.