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Finding the Fourth Proportional to 405,825,905.80, 608,738,858.70 and 405,825,905.80

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Solution

The fourth proportional to 405,825,905.80, 608,738,858.70 and 405,825,905.80 is: 608,738,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825,905.80 : 608,738,858.70 = 405,825,905.80 : x
  2. Step 2: Convert to fraction form
    405,825,905.80/608,738,858.70 = 405,825,905.80/x
  3. Step 3: Cross multiply
    405,825,905.80x = 608,738,858.70 × 405,825,905.80
  4. Step 4: Simplify right side
    405,825,905.80x = 247,041,998,727,585,728
  5. Step 5: Solve for x
    x = 247,041,998,727,585,728/405,825,905.80
  6. Step 6: Final answer
    x = 608,738,858.70

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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.