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Finding the Fourth Proportional to 230,812,340,610.60, 346,218,510,915.90 and 230,812,340,610.60

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Solution

The fourth proportional to 230,812,340,610.60, 346,218,510,915.90 and 230,812,340,610.60 is: 346,218,510,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,812,340,610.60 : 346,218,510,915.90 = 230,812,340,610.60 : x
  2. Step 2: Convert to fraction form
    230,812,340,610.60/346,218,510,915.90 = 230,812,340,610.60/x
  3. Step 3: Cross multiply
    230,812,340,610.60x = 346,218,510,915.90 × 230,812,340,610.60
  4. Step 4: Simplify right side
    230,812,340,610.60x = 79,911,504,867,215,452,143,616
  5. Step 5: Solve for x
    x = 79,911,504,867,215,452,143,616/230,812,340,610.60
  6. Step 6: Final answer
    x = 346,218,510,915.90

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1.5x scale

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.