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Finding the Fourth Proportional to 122,150,200.65, 183,225,300.98 and 122,150,200.65

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Solution

The fourth proportional to 122,150,200.65, 183,225,300.98 and 122,150,200.65 is: 183,225,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,150,200.65 : 183,225,300.98 = 122,150,200.65 : x
  2. Step 2: Convert to fraction form
    122,150,200.65/183,225,300.98 = 122,150,200.65/x
  3. Step 3: Cross multiply
    122,150,200.65x = 183,225,300.98 × 122,150,200.65
  4. Step 4: Simplify right side
    122,150,200.65x = 22,381,007,278,252,892
  5. Step 5: Solve for x
    x = 22,381,007,278,252,892/122,150,200.65
  6. Step 6: Final answer
    x = 183,225,300.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.