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Finding the Fourth Proportional to 443,030,664.30, 664,545,996.45 and 443,030,664.30

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Solution

The fourth proportional to 443,030,664.30, 664,545,996.45 and 443,030,664.30 is: 664,545,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,030,664.30 : 664,545,996.45 = 443,030,664.30 : x
  2. Step 2: Convert to fraction form
    443,030,664.30/664,545,996.45 = 443,030,664.30/x
  3. Step 3: Cross multiply
    443,030,664.30x = 664,545,996.45 × 443,030,664.30
  4. Step 4: Simplify right side
    443,030,664.30x = 294,414,254,265,148,992
  5. Step 5: Solve for x
    x = 294,414,254,265,148,992/443,030,664.30
  6. Step 6: Final answer
    x = 664,545,996.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.