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Finding the Fourth Proportional to 599,878,419.30, 827,498,762.34 and 348,954,578.10

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Solution

The fourth proportional to 599,878,419.30, 827,498,762.34 and 348,954,578.10 is: 481,363,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,878,419.30 : 827,498,762.34 = 348,954,578.10 : x
  2. Step 2: Convert to fraction form
    599,878,419.30/827,498,762.34 = 348,954,578.10/x
  3. Step 3: Cross multiply
    599,878,419.30x = 827,498,762.34 × 348,954,578.10
  4. Step 4: Simplify right side
    599,878,419.30x = 288,759,481,490,626,880
  5. Step 5: Solve for x
    x = 288,759,481,490,626,880/599,878,419.30
  6. Step 6: Final answer
    x = 481,363,343.30

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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.