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Finding the Fourth Proportional to 54,301,472,310.55, 81,452,208,465.83 and 54,301,472,310.55

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Solution

The fourth proportional to 54,301,472,310.55, 81,452,208,465.83 and 54,301,472,310.55 is: 81,452,208,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301,472,310.55 : 81,452,208,465.83 = 54,301,472,310.55 : x
  2. Step 2: Convert to fraction form
    54,301,472,310.55/81,452,208,465.83 = 54,301,472,310.55/x
  3. Step 3: Cross multiply
    54,301,472,310.55x = 81,452,208,465.83 × 54,301,472,310.55
  4. Step 4: Simplify right side
    54,301,472,310.55x = 4,422,974,842,640,414,539,776
  5. Step 5: Solve for x
    x = 4,422,974,842,640,414,539,776/54,301,472,310.55
  6. Step 6: Final answer
    x = 81,452,208,465.83

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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.