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Finding the Fourth Proportional to 285,434,287.80, 400,414,218.60 and 285,434,287.80

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Solution

The fourth proportional to 285,434,287.80, 400,414,218.60 and 285,434,287.80 is: 400,414,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,434,287.80 : 400,414,218.60 = 285,434,287.80 : x
  2. Step 2: Convert to fraction form
    285,434,287.80/400,414,218.60 = 285,434,287.80/x
  3. Step 3: Cross multiply
    285,434,287.80x = 400,414,218.60 × 285,434,287.80
  4. Step 4: Simplify right side
    285,434,287.80x = 114,291,947,311,084,528
  5. Step 5: Solve for x
    x = 114,291,947,311,084,528/285,434,287.80
  6. Step 6: Final answer
    x = 400,414,218.60

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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.