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Finding the Fourth Proportional to 206,724,096,629.20, 310,086,144,943.80 and 206,724,096,629.20

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Solution

The fourth proportional to 206,724,096,629.20, 310,086,144,943.80 and 206,724,096,629.20 is: 310,086,144,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,724,096,629.20 : 310,086,144,943.80 = 206,724,096,629.20 : x
  2. Step 2: Convert to fraction form
    206,724,096,629.20/310,086,144,943.80 = 206,724,096,629.20/x
  3. Step 3: Cross multiply
    206,724,096,629.20x = 310,086,144,943.80 × 206,724,096,629.20
  4. Step 4: Simplify right side
    206,724,096,629.20x = 64,102,278,190,738,232,573,952
  5. Step 5: Solve for x
    x = 64,102,278,190,738,232,573,952/206,724,096,629.20
  6. Step 6: Final answer
    x = 310,086,144,943.80

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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.