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Finding the Fourth Proportional to 751,283,728.20, 1,036,616,291.54 and 433,738,471.50

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Solution

The fourth proportional to 751,283,728.20, 1,036,616,291.54 and 433,738,471.50 is: 598,469,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,283,728.20 : 1,036,616,291.54 = 433,738,471.50 : x
  2. Step 2: Convert to fraction form
    751,283,728.20/1,036,616,291.54 = 433,738,471.50/x
  3. Step 3: Cross multiply
    751,283,728.20x = 1,036,616,291.54 × 433,738,471.50
  4. Step 4: Simplify right side
    751,283,728.20x = 449,620,365,824,557,952
  5. Step 5: Solve for x
    x = 449,620,365,824,557,952/751,283,728.20
  6. Step 6: Final answer
    x = 598,469,458.27

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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.