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Finding the Fourth Proportional to 567,726,893.80, 851,590,340.70 and 309,737,876.20

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Solution

The fourth proportional to 567,726,893.80, 851,590,340.70 and 309,737,876.20 is: 464,606,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,726,893.80 : 851,590,340.70 = 309,737,876.20 : x
  2. Step 2: Convert to fraction form
    567,726,893.80/851,590,340.70 = 309,737,876.20/x
  3. Step 3: Cross multiply
    567,726,893.80x = 851,590,340.70 × 309,737,876.20
  4. Step 4: Simplify right side
    567,726,893.80x = 263,769,783,520,852,416
  5. Step 5: Solve for x
    x = 263,769,783,520,852,416/567,726,893.80
  6. Step 6: Final answer
    x = 464,606,814.30

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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.