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Finding the Fourth Proportional to 598,575,274.80, 897,862,912.20 and 394,333,969.20

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Solution

The fourth proportional to 598,575,274.80, 897,862,912.20 and 394,333,969.20 is: 591,500,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,575,274.80 : 897,862,912.20 = 394,333,969.20 : x
  2. Step 2: Convert to fraction form
    598,575,274.80/897,862,912.20 = 394,333,969.20/x
  3. Step 3: Cross multiply
    598,575,274.80x = 897,862,912.20 × 394,333,969.20
  4. Step 4: Simplify right side
    598,575,274.80x = 354,057,845,965,297,088
  5. Step 5: Solve for x
    x = 354,057,845,965,297,088/598,575,274.80
  6. Step 6: Final answer
    x = 591,500,953.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.