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Finding the Fourth Proportional to 490,613,307,057.45, 735,919,960,586.20 and 490,613,307,057.45

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Solution

The fourth proportional to 490,613,307,057.45, 735,919,960,586.20 and 490,613,307,057.45 is: 735,919,960,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,613,307,057.45 : 735,919,960,586.20 = 490,613,307,057.45 : x
  2. Step 2: Convert to fraction form
    490,613,307,057.45/735,919,960,586.20 = 490,613,307,057.45/x
  3. Step 3: Cross multiply
    490,613,307,057.45x = 735,919,960,586.20 × 490,613,307,057.45
  4. Step 4: Simplify right side
    490,613,307,057.45x = 361,052,125,592,783,855,550,464
  5. Step 5: Solve for x
    x = 361,052,125,592,783,855,550,464/490,613,307,057.45
  6. Step 6: Final answer
    x = 735,919,960,586.20

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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.