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Finding the Fourth Proportional to 54,301,472,428.30, 81,452,208,642.45 and 54,301,472,428.30

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Solution

The fourth proportional to 54,301,472,428.30, 81,452,208,642.45 and 54,301,472,428.30 is: 81,452,208,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301,472,428.30 : 81,452,208,642.45 = 54,301,472,428.30 : x
  2. Step 2: Convert to fraction form
    54,301,472,428.30/81,452,208,642.45 = 54,301,472,428.30/x
  3. Step 3: Cross multiply
    54,301,472,428.30x = 81,452,208,642.45 × 54,301,472,428.30
  4. Step 4: Simplify right side
    54,301,472,428.30x = 4,422,974,861,822,137,991,168
  5. Step 5: Solve for x
    x = 4,422,974,861,822,137,991,168/54,301,472,428.30
  6. Step 6: Final answer
    x = 81,452,208,642.45

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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.