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Finding the Fourth Proportional to 299,824,728.09, 413,759,235.83 and 174,407,017.29

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Solution

The fourth proportional to 299,824,728.09, 413,759,235.83 and 174,407,017.29 is: 240,682,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,824,728.09 : 413,759,235.83 = 174,407,017.29 : x
  2. Step 2: Convert to fraction form
    299,824,728.09/413,759,235.83 = 174,407,017.29/x
  3. Step 3: Cross multiply
    299,824,728.09x = 413,759,235.83 × 174,407,017.29
  4. Step 4: Simplify right side
    299,824,728.09x = 72,162,514,197,299,984
  5. Step 5: Solve for x
    x = 72,162,514,197,299,984/299,824,728.09
  6. Step 6: Final answer
    x = 240,682,330.16

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