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Finding the Fourth Proportional to 401,325,905.80, 601,988,858.70 and 340,103,902.60

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Solution

The fourth proportional to 401,325,905.80, 601,988,858.70 and 340,103,902.60 is: 510,155,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,325,905.80 : 601,988,858.70 = 340,103,902.60 : x
  2. Step 2: Convert to fraction form
    401,325,905.80/601,988,858.70 = 340,103,902.60/x
  3. Step 3: Cross multiply
    401,325,905.80x = 601,988,858.70 × 340,103,902.60
  4. Step 4: Simplify right side
    401,325,905.80x = 204,738,760,165,589,984
  5. Step 5: Solve for x
    x = 204,738,760,165,589,984/401,325,905.80
  6. Step 6: Final answer
    x = 510,155,853.90

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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.