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Finding the Fourth Proportional to 612,930,771.70, 919,396,157.55 and 407,793,670.90

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Solution

The fourth proportional to 612,930,771.70, 919,396,157.55 and 407,793,670.90 is: 611,690,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,930,771.70 : 919,396,157.55 = 407,793,670.90 : x
  2. Step 2: Convert to fraction form
    612,930,771.70/919,396,157.55 = 407,793,670.90/x
  3. Step 3: Cross multiply
    612,930,771.70x = 919,396,157.55 × 407,793,670.90
  4. Step 4: Simplify right side
    612,930,771.70x = 374,923,934,098,669,184
  5. Step 5: Solve for x
    x = 374,923,934,098,669,184/612,930,771.70
  6. Step 6: Final answer
    x = 611,690,506.35

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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.