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Finding the Fourth Proportional to 54,481,187,807.60, 81,721,781,711.40 and 54,481,187,807.60

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Solution

The fourth proportional to 54,481,187,807.60, 81,721,781,711.40 and 54,481,187,807.60 is: 81,721,781,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,481,187,807.60 : 81,721,781,711.40 = 54,481,187,807.60 : x
  2. Step 2: Convert to fraction form
    54,481,187,807.60/81,721,781,711.40 = 54,481,187,807.60/x
  3. Step 3: Cross multiply
    54,481,187,807.60x = 81,721,781,711.40 × 54,481,187,807.60
  4. Step 4: Simplify right side
    54,481,187,807.60x = 4,452,299,737,390,473,805,824
  5. Step 5: Solve for x
    x = 4,452,299,737,390,473,805,824/54,481,187,807.60
  6. Step 6: Final answer
    x = 81,721,781,711.40

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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.