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Finding the Fourth Proportional to 401,138,999.80, 600,751,905.90 and 401,138,999.80

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Solution

The fourth proportional to 401,138,999.80, 600,751,905.90 and 401,138,999.80 is: 600,751,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,138,999.80 : 600,751,905.90 = 401,138,999.80 : x
  2. Step 2: Convert to fraction form
    401,138,999.80/600,751,905.90 = 401,138,999.80/x
  3. Step 3: Cross multiply
    401,138,999.80x = 600,751,905.90 × 401,138,999.80
  4. Step 4: Simplify right side
    401,138,999.80x = 240,985,018,660,669,728
  5. Step 5: Solve for x
    x = 240,985,018,660,669,728/401,138,999.80
  6. Step 6: Final answer
    x = 600,751,905.90

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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.