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Finding the Fourth Proportional to 54,561,544,357.05, 81,842,316,535.58 and 54,561,544,357.05

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Solution

The fourth proportional to 54,561,544,357.05, 81,842,316,535.58 and 54,561,544,357.05 is: 81,842,316,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,561,544,357.05 : 81,842,316,535.58 = 54,561,544,357.05 : x
  2. Step 2: Convert to fraction form
    54,561,544,357.05/81,842,316,535.58 = 54,561,544,357.05/x
  3. Step 3: Cross multiply
    54,561,544,357.05x = 81,842,316,535.58 × 54,561,544,357.05
  4. Step 4: Simplify right side
    54,561,544,357.05x = 4,465,443,183,939,501,948,928
  5. Step 5: Solve for x
    x = 4,465,443,183,939,501,948,928/54,561,544,357.05
  6. Step 6: Final answer
    x = 81,842,316,535.58

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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.