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Finding the Fourth Proportional to 440,033,148,015.46, 660,049,722,023.20 and 440,033,148,015.46

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Solution

The fourth proportional to 440,033,148,015.46, 660,049,722,023.20 and 440,033,148,015.46 is: 660,049,722,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,033,148,015.46 : 660,049,722,023.20 = 440,033,148,015.46 : x
  2. Step 2: Convert to fraction form
    440,033,148,015.46/660,049,722,023.20 = 440,033,148,015.46/x
  3. Step 3: Cross multiply
    440,033,148,015.46x = 660,049,722,023.20 × 440,033,148,015.46
  4. Step 4: Simplify right side
    440,033,148,015.46x = 290,443,757,028,598,001,696,768
  5. Step 5: Solve for x
    x = 290,443,757,028,598,001,696,768/440,033,148,015.46
  6. Step 6: Final answer
    x = 660,049,722,023.20

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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.