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Finding the Fourth Proportional to 202,723,783.50, 279,989,768.46 and 137,420,313.42

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Solution

The fourth proportional to 202,723,783.50, 279,989,768.46 and 137,420,313.42 is: 189,796,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,723,783.50 : 279,989,768.46 = 137,420,313.42 : x
  2. Step 2: Convert to fraction form
    202,723,783.50/279,989,768.46 = 137,420,313.42/x
  3. Step 3: Cross multiply
    202,723,783.50x = 279,989,768.46 × 137,420,313.42
  4. Step 4: Simplify right side
    202,723,783.50x = 38,476,281,736,166,424
  5. Step 5: Solve for x
    x = 38,476,281,736,166,424/202,723,783.50
  6. Step 6: Final answer
    x = 189,796,584.65

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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.