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Finding the Fourth Proportional to 202,108,516.80, 302,595,904.80 and 196,439,812.80

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Solution

The fourth proportional to 202,108,516.80, 302,595,904.80 and 196,439,812.80 is: 294,108,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108,516.80 : 302,595,904.80 = 196,439,812.80 : x
  2. Step 2: Convert to fraction form
    202,108,516.80/302,595,904.80 = 196,439,812.80/x
  3. Step 3: Cross multiply
    202,108,516.80x = 302,595,904.80 × 196,439,812.80
  4. Step 4: Simplify right side
    202,108,516.80x = 59,441,882,892,958,624
  5. Step 5: Solve for x
    x = 59,441,882,892,958,624/202,108,516.80
  6. Step 6: Final answer
    x = 294,108,748.28

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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.