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Finding the Fourth Proportional to 378,077,169.30, 566,891,805.15 and 196,678,641.30

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Solution

The fourth proportional to 378,077,169.30, 566,891,805.15 and 196,678,641.30 is: 294,901,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077,169.30 : 566,891,805.15 = 196,678,641.30 : x
  2. Step 2: Convert to fraction form
    378,077,169.30/566,891,805.15 = 196,678,641.30/x
  3. Step 3: Cross multiply
    378,077,169.30x = 566,891,805.15 × 196,678,641.30
  4. Step 4: Simplify right side
    378,077,169.30x = 111,495,510,001,006,352
  5. Step 5: Solve for x
    x = 111,495,510,001,006,352/378,077,169.30
  6. Step 6: Final answer
    x = 294,901,462.07

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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.