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Finding the Fourth Proportional to 322,922,376,098.20, 484,383,564,147.30 and 322,922,376,098.20

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Solution

The fourth proportional to 322,922,376,098.20, 484,383,564,147.30 and 322,922,376,098.20 is: 484,383,564,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,922,376,098.20 : 484,383,564,147.30 = 322,922,376,098.20 : x
  2. Step 2: Convert to fraction form
    322,922,376,098.20/484,383,564,147.30 = 322,922,376,098.20/x
  3. Step 3: Cross multiply
    322,922,376,098.20x = 484,383,564,147.30 × 322,922,376,098.20
  4. Step 4: Simplify right side
    322,922,376,098.20x = 156,418,291,477,361,012,506,624
  5. Step 5: Solve for x
    x = 156,418,291,477,361,012,506,624/322,922,376,098.20
  6. Step 6: Final answer
    x = 484,383,564,147.30

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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.