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Finding the Fourth Proportional to 146,984,098,658.40, 220,476,147,987.60 and 146,984,098,658.40

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Solution

The fourth proportional to 146,984,098,658.40, 220,476,147,987.60 and 146,984,098,658.40 is: 220,476,147,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,984,098,658.40 : 220,476,147,987.60 = 146,984,098,658.40 : x
  2. Step 2: Convert to fraction form
    146,984,098,658.40/220,476,147,987.60 = 146,984,098,658.40/x
  3. Step 3: Cross multiply
    146,984,098,658.40x = 220,476,147,987.60 × 146,984,098,658.40
  4. Step 4: Simplify right side
    146,984,098,658.40x = 32,406,487,887,633,396,531,200
  5. Step 5: Solve for x
    x = 32,406,487,887,633,396,531,200/146,984,098,658.40
  6. Step 6: Final answer
    x = 220,476,147,987.60

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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.