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Finding the Fourth Proportional to 229,825,803.30, 344,738,704.95 and 229,825,803.30

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Solution

The fourth proportional to 229,825,803.30, 344,738,704.95 and 229,825,803.30 is: 344,738,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,825,803.30 : 344,738,704.95 = 229,825,803.30 : x
  2. Step 2: Convert to fraction form
    229,825,803.30/344,738,704.95 = 229,825,803.30/x
  3. Step 3: Cross multiply
    229,825,803.30x = 344,738,704.95 × 229,825,803.30
  4. Step 4: Simplify right side
    229,825,803.30x = 79,229,849,793,735,440
  5. Step 5: Solve for x
    x = 79,229,849,793,735,440/229,825,803.30
  6. Step 6: Final answer
    x = 344,738,704.95

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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.