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Finding the Fourth Proportional to 65,282,912,198.80, 91,570,219,665.20 and 65,282,912,198.80

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Solution

The fourth proportional to 65,282,912,198.80, 91,570,219,665.20 and 65,282,912,198.80 is: 91,570,219,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282,912,198.80 : 91,570,219,665.20 = 65,282,912,198.80 : x
  2. Step 2: Convert to fraction form
    65,282,912,198.80/91,570,219,665.20 = 65,282,912,198.80/x
  3. Step 3: Cross multiply
    65,282,912,198.80x = 91,570,219,665.20 × 65,282,912,198.80
  4. Step 4: Simplify right side
    65,282,912,198.80x = 5,977,970,610,428,080,816,128
  5. Step 5: Solve for x
    x = 5,977,970,610,428,080,816,128/65,282,912,198.80
  6. Step 6: Final answer
    x = 91,570,219,665.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.