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Finding the Fourth Proportional to 189,216,099.60, 283,824,149.40 and 189,216,099.60

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Solution

The fourth proportional to 189,216,099.60, 283,824,149.40 and 189,216,099.60 is: 283,824,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216,099.60 : 283,824,149.40 = 189,216,099.60 : x
  2. Step 2: Convert to fraction form
    189,216,099.60/283,824,149.40 = 189,216,099.60/x
  3. Step 3: Cross multiply
    189,216,099.60x = 283,824,149.40 × 189,216,099.60
  4. Step 4: Simplify right side
    189,216,099.60x = 53,704,098,521,755,672
  5. Step 5: Solve for x
    x = 53,704,098,521,755,672/189,216,099.60
  6. Step 6: Final answer
    x = 283,824,149.40

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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.