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Finding the Fourth Proportional to 378,077,202.80, 566,891,855.40 and 196,678,674.80

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Solution

The fourth proportional to 378,077,202.80, 566,891,855.40 and 196,678,674.80 is: 294,901,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077,202.80 : 566,891,855.40 = 196,678,674.80 : x
  2. Step 2: Convert to fraction form
    378,077,202.80/566,891,855.40 = 196,678,674.80/x
  3. Step 3: Cross multiply
    378,077,202.80x = 566,891,855.40 × 196,678,674.80
  4. Step 4: Simplify right side
    378,077,202.80x = 111,495,538,874,985,232
  5. Step 5: Solve for x
    x = 111,495,538,874,985,232/378,077,202.80
  6. Step 6: Final answer
    x = 294,901,512.31

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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.