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Finding the Fourth Proportional to 206,435,783.55, 309,653,675.33 and 83,672,912.55

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Solution

The fourth proportional to 206,435,783.55, 309,653,675.33 and 83,672,912.55 is: 125,509,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,435,783.55 : 309,653,675.33 = 83,672,912.55 : x
  2. Step 2: Convert to fraction form
    206,435,783.55/309,653,675.33 = 83,672,912.55/x
  3. Step 3: Cross multiply
    206,435,783.55x = 309,653,675.33 × 83,672,912.55
  4. Step 4: Simplify right side
    206,435,783.55x = 25,909,624,896,254,816
  5. Step 5: Solve for x
    x = 25,909,624,896,254,816/206,435,783.55
  6. Step 6: Final answer
    x = 125,509,368.83

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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.