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Finding the Fourth Proportional to 218,523,218.40, 327,784,827.60 and 218,523,218.40

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Solution

The fourth proportional to 218,523,218.40, 327,784,827.60 and 218,523,218.40 is: 327,784,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,523,218.40 : 327,784,827.60 = 218,523,218.40 : x
  2. Step 2: Convert to fraction form
    218,523,218.40/327,784,827.60 = 218,523,218.40/x
  3. Step 3: Cross multiply
    218,523,218.40x = 327,784,827.60 × 218,523,218.40
  4. Step 4: Simplify right side
    218,523,218.40x = 71,628,595,469,841,152
  5. Step 5: Solve for x
    x = 71,628,595,469,841,152/218,523,218.40
  6. Step 6: Final answer
    x = 327,784,827.60

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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.