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Finding the Fourth Proportional to 54,301,665,625.30, 81,452,498,437.95 and 54,301,665,625.30

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Solution

The fourth proportional to 54,301,665,625.30, 81,452,498,437.95 and 54,301,665,625.30 is: 81,452,498,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301,665,625.30 : 81,452,498,437.95 = 54,301,665,625.30 : x
  2. Step 2: Convert to fraction form
    54,301,665,625.30/81,452,498,437.95 = 54,301,665,625.30/x
  3. Step 3: Cross multiply
    54,301,665,625.30x = 81,452,498,437.95 × 54,301,665,625.30
  4. Step 4: Simplify right side
    54,301,665,625.30x = 4,423,006,334,522,831,667,200
  5. Step 5: Solve for x
    x = 4,423,006,334,522,831,667,200/54,301,665,625.30
  6. Step 6: Final answer
    x = 81,452,498,437.95

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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.