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Finding the Fourth Proportional to 206,435,783.30, 309,653,674.95 and 83,672,912.30

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Solution

The fourth proportional to 206,435,783.30, 309,653,674.95 and 83,672,912.30 is: 125,509,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,435,783.30 : 309,653,674.95 = 83,672,912.30 : x
  2. Step 2: Convert to fraction form
    206,435,783.30/309,653,674.95 = 83,672,912.30/x
  3. Step 3: Cross multiply
    206,435,783.30x = 309,653,674.95 × 83,672,912.30
  4. Step 4: Simplify right side
    206,435,783.30x = 25,909,624,787,464,056
  5. Step 5: Solve for x
    x = 25,909,624,787,464,056/206,435,783.30
  6. Step 6: Final answer
    x = 125,509,368.45

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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.