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Finding the Fourth Proportional to 402,694,682.80, 604,191,323.40 and 160,531,380.40

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Solution

The fourth proportional to 402,694,682.80, 604,191,323.40 and 160,531,380.40 is: 240,856,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,694,682.80 : 604,191,323.40 = 160,531,380.40 : x
  2. Step 2: Convert to fraction form
    402,694,682.80/604,191,323.40 = 160,531,380.40/x
  3. Step 3: Cross multiply
    402,694,682.80x = 604,191,323.40 × 160,531,380.40
  4. Step 4: Simplify right side
    402,694,682.80x = 96,991,667,171,104,816
  5. Step 5: Solve for x
    x = 96,991,667,171,104,816/402,694,682.80
  6. Step 6: Final answer
    x = 240,856,587.67

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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.