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Finding the Fourth Proportional to 382,806,643.80, 574,209,965.70 and 188,810,995.80

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Solution

The fourth proportional to 382,806,643.80, 574,209,965.70 and 188,810,995.80 is: 283,216,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,806,643.80 : 574,209,965.70 = 188,810,995.80 : x
  2. Step 2: Convert to fraction form
    382,806,643.80/574,209,965.70 = 188,810,995.80/x
  3. Step 3: Cross multiply
    382,806,643.80x = 574,209,965.70 × 188,810,995.80
  4. Step 4: Simplify right side
    382,806,643.80x = 108,417,155,422,100,864
  5. Step 5: Solve for x
    x = 108,417,155,422,100,864/382,806,643.80
  6. Step 6: Final answer
    x = 283,216,493.70

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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.