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Finding the Fourth Proportional to 440,033,147,999.60, 660,049,721,999.40 and 440,033,147,999.60

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Solution

The fourth proportional to 440,033,147,999.60, 660,049,721,999.40 and 440,033,147,999.60 is: 660,049,721,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,033,147,999.60 : 660,049,721,999.40 = 440,033,147,999.60 : x
  2. Step 2: Convert to fraction form
    440,033,147,999.60/660,049,721,999.40 = 440,033,147,999.60/x
  3. Step 3: Cross multiply
    440,033,147,999.60x = 660,049,721,999.40 × 440,033,147,999.60
  4. Step 4: Simplify right side
    440,033,147,999.60x = 290,443,757,007,656,814,903,296
  5. Step 5: Solve for x
    x = 290,443,757,007,656,814,903,296/440,033,147,999.60
  6. Step 6: Final answer
    x = 660,049,721,999.40

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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.