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Finding the Fourth Proportional to 405,825,904.80, 608,738,857.20 and 405,825,904.80

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Solution

The fourth proportional to 405,825,904.80, 608,738,857.20 and 405,825,904.80 is: 608,738,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825,904.80 : 608,738,857.20 = 405,825,904.80 : x
  2. Step 2: Convert to fraction form
    405,825,904.80/608,738,857.20 = 405,825,904.80/x
  3. Step 3: Cross multiply
    405,825,904.80x = 608,738,857.20 × 405,825,904.80
  4. Step 4: Simplify right side
    405,825,904.80x = 247,041,997,510,108,032
  5. Step 5: Solve for x
    x = 247,041,997,510,108,032/405,825,904.80
  6. Step 6: Final answer
    x = 608,738,857.20

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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.