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Finding the Fourth Proportional to 61,292,862,002.55, 91,939,293,003.83 and 61,292,862,002.55

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Solution

The fourth proportional to 61,292,862,002.55, 91,939,293,003.83 and 61,292,862,002.55 is: 91,939,293,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,292,862,002.55 : 91,939,293,003.83 = 61,292,862,002.55 : x
  2. Step 2: Convert to fraction form
    61,292,862,002.55/91,939,293,003.83 = 61,292,862,002.55/x
  3. Step 3: Cross multiply
    61,292,862,002.55x = 91,939,293,003.83 × 61,292,862,002.55
  4. Step 4: Simplify right side
    61,292,862,002.55x = 5,635,222,398,695,456,636,928
  5. Step 5: Solve for x
    x = 5,635,222,398,695,456,636,928/61,292,862,002.55
  6. Step 6: Final answer
    x = 91,939,293,003.83

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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.