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Finding the Fourth Proportional to 55,295,997.60, 82,943,996.40 and 55,295,997.60

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Solution

The fourth proportional to 55,295,997.60, 82,943,996.40 and 55,295,997.60 is: 82,943,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,295,997.60 : 82,943,996.40 = 55,295,997.60 : x
  2. Step 2: Convert to fraction form
    55,295,997.60/82,943,996.40 = 55,295,997.60/x
  3. Step 3: Cross multiply
    55,295,997.60x = 82,943,996.40 × 55,295,997.60
  4. Step 4: Simplify right side
    55,295,997.60x = 4,586,471,025,868,809
  5. Step 5: Solve for x
    x = 4,586,471,025,868,809/55,295,997.60
  6. Step 6: Final answer
    x = 82,943,996.40

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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.