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Finding the Fourth Proportional to 368,997,533.06, 509,218,898.52 and 201,734,154.68

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Solution

The fourth proportional to 368,997,533.06, 509,218,898.52 and 201,734,154.68 is: 278,394,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,997,533.06 : 509,218,898.52 = 201,734,154.68 : x
  2. Step 2: Convert to fraction form
    368,997,533.06/509,218,898.52 = 201,734,154.68/x
  3. Step 3: Cross multiply
    368,997,533.06x = 509,218,898.52 × 201,734,154.68
  4. Step 4: Simplify right side
    368,997,533.06x = 102,726,844,040,012,896
  5. Step 5: Solve for x
    x = 102,726,844,040,012,896/368,997,533.06
  6. Step 6: Final answer
    x = 278,394,392.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.