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Finding the Fourth Proportional to 102,192,316.05, 153,288,474.08 and 102,192,316.05

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Solution

The fourth proportional to 102,192,316.05, 153,288,474.08 and 102,192,316.05 is: 153,288,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192,316.05 : 153,288,474.08 = 102,192,316.05 : x
  2. Step 2: Convert to fraction form
    102,192,316.05/153,288,474.08 = 102,192,316.05/x
  3. Step 3: Cross multiply
    102,192,316.05x = 153,288,474.08 × 102,192,316.05
  4. Step 4: Simplify right side
    102,192,316.05x = 15,664,904,189,494,630
  5. Step 5: Solve for x
    x = 15,664,904,189,494,630/102,192,316.05
  6. Step 6: Final answer
    x = 153,288,474.08

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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.