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Finding the Fourth Proportional to 54,301,472,310.05, 81,452,208,465.08 and 54,301,472,310.05

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Solution

The fourth proportional to 54,301,472,310.05, 81,452,208,465.08 and 54,301,472,310.05 is: 81,452,208,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301,472,310.05 : 81,452,208,465.08 = 54,301,472,310.05 : x
  2. Step 2: Convert to fraction form
    54,301,472,310.05/81,452,208,465.08 = 54,301,472,310.05/x
  3. Step 3: Cross multiply
    54,301,472,310.05x = 81,452,208,465.08 × 54,301,472,310.05
  4. Step 4: Simplify right side
    54,301,472,310.05x = 4,422,974,842,558,962,204,672
  5. Step 5: Solve for x
    x = 4,422,974,842,558,962,204,672/54,301,472,310.05
  6. Step 6: Final answer
    x = 81,452,208,465.08

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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.