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Finding the Fourth Proportional to 665,497,029.35, 998,245,544.03 and 665,497,029.35

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Solution

The fourth proportional to 665,497,029.35, 998,245,544.03 and 665,497,029.35 is: 998,245,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,497,029.35 : 998,245,544.03 = 665,497,029.35 : x
  2. Step 2: Convert to fraction form
    665,497,029.35/998,245,544.03 = 665,497,029.35/x
  3. Step 3: Cross multiply
    665,497,029.35x = 998,245,544.03 × 665,497,029.35
  4. Step 4: Simplify right side
    665,497,029.35x = 664,329,444,110,512,128
  5. Step 5: Solve for x
    x = 664,329,444,110,512,128/665,497,029.35
  6. Step 6: Final answer
    x = 998,245,544.03

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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.