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Finding the Fourth Proportional to 57,513,726,051.30, 86,270,589,076.95 and 57,513,726,051.30

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Solution

The fourth proportional to 57,513,726,051.30, 86,270,589,076.95 and 57,513,726,051.30 is: 86,270,589,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513,726,051.30 : 86,270,589,076.95 = 57,513,726,051.30 : x
  2. Step 2: Convert to fraction form
    57,513,726,051.30/86,270,589,076.95 = 57,513,726,051.30/x
  3. Step 3: Cross multiply
    57,513,726,051.30x = 86,270,589,076.95 × 57,513,726,051.30
  4. Step 4: Simplify right side
    57,513,726,051.30x = 4,961,743,026,455,976,083,456
  5. Step 5: Solve for x
    x = 4,961,743,026,455,976,083,456/57,513,726,051.30
  6. Step 6: Final answer
    x = 86,270,589,076.95

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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.