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Finding the Fourth Proportional to 322,969,464,009.46, 484,454,196,014.18 and 322,969,464,009.46

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Solution

The fourth proportional to 322,969,464,009.46, 484,454,196,014.18 and 322,969,464,009.46 is: 484,454,196,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,969,464,009.46 : 484,454,196,014.18 = 322,969,464,009.46 : x
  2. Step 2: Convert to fraction form
    322,969,464,009.46/484,454,196,014.18 = 322,969,464,009.46/x
  3. Step 3: Cross multiply
    322,969,464,009.46x = 484,454,196,014.18 × 322,969,464,009.46
  4. Step 4: Simplify right side
    322,969,464,009.46x = 156,463,912,023,833,603,735,552
  5. Step 5: Solve for x
    x = 156,463,912,023,833,603,735,552/322,969,464,009.46
  6. Step 6: Final answer
    x = 484,454,196,014.18

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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.