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Finding the Fourth Proportional to 1,672,728,036.82, 2,308,365,869.47 and 920,098,469.57

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Solution

The fourth proportional to 1,672,728,036.82, 2,308,365,869.47 and 920,098,469.57 is: 1,269,736,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672,728,036.82 : 2,308,365,869.47 = 920,098,469.57 : x
  2. Step 2: Convert to fraction form
    1,672,728,036.82/2,308,365,869.47 = 920,098,469.57/x
  3. Step 3: Cross multiply
    1,672,728,036.82x = 2,308,365,869.47 × 920,098,469.57
  4. Step 4: Simplify right side
    1,672,728,036.82x = 2,123,923,903,693,127,680
  5. Step 5: Solve for x
    x = 2,123,923,903,693,127,680/1,672,728,036.82
  6. Step 6: Final answer
    x = 1,269,736,536.33

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Why These Related Problems?

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