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Finding the Fourth Proportional to 700,997,797, 1,051,467,466.28 and 183,416,778.28

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Solution

The fourth proportional to 700,997,797, 1,051,467,466.28 and 183,416,778.28 is: 275,117,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,997,797 : 1,051,467,466.28 = 183,416,778.28 : x
  2. Step 2: Convert to fraction form
    700,997,797/1,051,467,466.28 = 183,416,778.28/x
  3. Step 3: Cross multiply
    700,997,797x = 1,051,467,466.28 × 183,416,778.28
  4. Step 4: Simplify right side
    700,997,797x = 192,856,775,131,312,128
  5. Step 5: Solve for x
    x = 192,856,775,131,312,128/700,997,797
  6. Step 6: Final answer
    x = 275,117,519.57

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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.