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Finding the Fourth Proportional to 440,033,148,233.72, 660,049,722,350.60 and 440,033,148,233.72

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Solution

The fourth proportional to 440,033,148,233.72, 660,049,722,350.60 and 440,033,148,233.72 is: 660,049,722,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,033,148,233.72 : 660,049,722,350.60 = 440,033,148,233.72 : x
  2. Step 2: Convert to fraction form
    440,033,148,233.72/660,049,722,350.60 = 440,033,148,233.72/x
  3. Step 3: Cross multiply
    440,033,148,233.72x = 660,049,722,350.60 × 440,033,148,233.72
  4. Step 4: Simplify right side
    440,033,148,233.72x = 290,443,757,316,727,258,480,640
  5. Step 5: Solve for x
    x = 290,443,757,316,727,258,480,640/440,033,148,233.72
  6. Step 6: Final answer
    x = 660,049,722,350.60

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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.