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Finding the Fourth Proportional to 228,096,198.30, 342,144,297.45 and 228,096,198.30

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Solution

The fourth proportional to 228,096,198.30, 342,144,297.45 and 228,096,198.30 is: 342,144,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,096,198.30 : 342,144,297.45 = 228,096,198.30 : x
  2. Step 2: Convert to fraction form
    228,096,198.30/342,144,297.45 = 228,096,198.30/x
  3. Step 3: Cross multiply
    228,096,198.30x = 342,144,297.45 × 228,096,198.30
  4. Step 4: Simplify right side
    228,096,198.30x = 78,041,813,518,369,392
  5. Step 5: Solve for x
    x = 78,041,813,518,369,392/228,096,198.30
  6. Step 6: Final answer
    x = 342,144,297.45

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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.