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Finding the Fourth Proportional to 61,292,862,003.80, 91,939,293,005.71 and 61,292,862,003.80

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Solution

The fourth proportional to 61,292,862,003.80, 91,939,293,005.71 and 61,292,862,003.80 is: 91,939,293,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,292,862,003.80 : 91,939,293,005.71 = 61,292,862,003.80 : x
  2. Step 2: Convert to fraction form
    61,292,862,003.80/91,939,293,005.71 = 61,292,862,003.80/x
  3. Step 3: Cross multiply
    61,292,862,003.80x = 91,939,293,005.71 × 61,292,862,003.80
  4. Step 4: Simplify right side
    61,292,862,003.80x = 5,635,222,398,925,611,728,896
  5. Step 5: Solve for x
    x = 5,635,222,398,925,611,728,896/61,292,862,003.80
  6. Step 6: Final answer
    x = 91,939,293,005.71

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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.