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Finding the Fourth Proportional to 356,575,375.80, 498,185,159.40 and 356,575,375.80

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Solution

The fourth proportional to 356,575,375.80, 498,185,159.40 and 356,575,375.80 is: 498,185,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,575,375.80 : 498,185,159.40 = 356,575,375.80 : x
  2. Step 2: Convert to fraction form
    356,575,375.80/498,185,159.40 = 356,575,375.80/x
  3. Step 3: Cross multiply
    356,575,375.80x = 498,185,159.40 × 356,575,375.80
  4. Step 4: Simplify right side
    356,575,375.80x = 177,640,560,431,037,888
  5. Step 5: Solve for x
    x = 177,640,560,431,037,888/356,575,375.80
  6. Step 6: Final answer
    x = 498,185,159.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.