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Finding the Fourth Proportional to 443,166,593.12, 664,748,997.72 and 416,198,496.72

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Solution

The fourth proportional to 443,166,593.12, 664,748,997.72 and 416,198,496.72 is: 624,296,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,166,593.12 : 664,748,997.72 = 416,198,496.72 : x
  2. Step 2: Convert to fraction form
    443,166,593.12/664,748,997.72 = 416,198,496.72/x
  3. Step 3: Cross multiply
    443,166,593.12x = 664,748,997.72 × 416,198,496.72
  4. Step 4: Simplify right side
    443,166,593.12x = 276,667,533,547,190,752
  5. Step 5: Solve for x
    x = 276,667,533,547,190,752/443,166,593.12
  6. Step 6: Final answer
    x = 624,296,907.40

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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.