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Finding the Fourth Proportional to 603,733,584.60, 905,600,376.90 and 194,789,735.10

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Solution

The fourth proportional to 603,733,584.60, 905,600,376.90 and 194,789,735.10 is: 292,184,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,733,584.60 : 905,600,376.90 = 194,789,735.10 : x
  2. Step 2: Convert to fraction form
    603,733,584.60/905,600,376.90 = 194,789,735.10/x
  3. Step 3: Cross multiply
    603,733,584.60x = 905,600,376.90 × 194,789,735.10
  4. Step 4: Simplify right side
    603,733,584.60x = 176,401,657,522,811,136
  5. Step 5: Solve for x
    x = 176,401,657,522,811,136/603,733,584.60
  6. Step 6: Final answer
    x = 292,184,602.65

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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.