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Finding the Fourth Proportional to 422,684,706.85, 583,285,133.30 and 234,510,998.07

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Solution

The fourth proportional to 422,684,706.85, 583,285,133.30 and 234,510,998.07 is: 323,614,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,684,706.85 : 583,285,133.30 = 234,510,998.07 : x
  2. Step 2: Convert to fraction form
    422,684,706.85/583,285,133.30 = 234,510,998.07/x
  3. Step 3: Cross multiply
    422,684,706.85x = 583,285,133.30 × 234,510,998.07
  4. Step 4: Simplify right side
    422,684,706.85x = 136,786,778,770,590,736
  5. Step 5: Solve for x
    x = 136,786,778,770,590,736/422,684,706.85
  6. Step 6: Final answer
    x = 323,614,213.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.