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Finding the Fourth Proportional to 596,382,786, 822,998,418.84 and 348,906,065.04

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Solution

The fourth proportional to 596,382,786, 822,998,418.84 and 348,906,065.04 is: 481,484,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,382,786 : 822,998,418.84 = 348,906,065.04 : x
  2. Step 2: Convert to fraction form
    596,382,786/822,998,418.84 = 348,906,065.04/x
  3. Step 3: Cross multiply
    596,382,786x = 822,998,418.84 × 348,906,065.04
  4. Step 4: Simplify right side
    596,382,786x = 287,149,139,851,606,240
  5. Step 5: Solve for x
    x = 287,149,139,851,606,240/596,382,786
  6. Step 6: Final answer
    x = 481,484,621.27

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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.