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Finding the Fourth Proportional to 264,416,672.70, 396,625,009.05 and 141,972,666.30

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Solution

The fourth proportional to 264,416,672.70, 396,625,009.05 and 141,972,666.30 is: 212,958,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,416,672.70 : 396,625,009.05 = 141,972,666.30 : x
  2. Step 2: Convert to fraction form
    264,416,672.70/396,625,009.05 = 141,972,666.30/x
  3. Step 3: Cross multiply
    264,416,672.70x = 396,625,009.05 × 141,972,666.30
  4. Step 4: Simplify right side
    264,416,672.70x = 56,309,910,056,090,136
  5. Step 5: Solve for x
    x = 56,309,910,056,090,136/264,416,672.70
  6. Step 6: Final answer
    x = 212,958,999.45

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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.