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Finding the Fourth Proportional to 54,562,032,003.60, 81,843,048,005.40 and 54,562,032,003.60

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Solution

The fourth proportional to 54,562,032,003.60, 81,843,048,005.40 and 54,562,032,003.60 is: 81,843,048,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,562,032,003.60 : 81,843,048,005.40 = 54,562,032,003.60 : x
  2. Step 2: Convert to fraction form
    54,562,032,003.60/81,843,048,005.40 = 54,562,032,003.60/x
  3. Step 3: Cross multiply
    54,562,032,003.60x = 81,843,048,005.40 × 54,562,032,003.60
  4. Step 4: Simplify right side
    54,562,032,003.60x = 4,465,523,004,542,805,344,256
  5. Step 5: Solve for x
    x = 4,465,523,004,542,805,344,256/54,562,032,003.60
  6. Step 6: Final answer
    x = 81,843,048,005.40

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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.