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Finding the Fourth Proportional to 322,840,330,813.90, 484,260,496,220.85 and 322,840,330,813.90

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Solution

The fourth proportional to 322,840,330,813.90, 484,260,496,220.85 and 322,840,330,813.90 is: 484,260,496,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,840,330,813.90 : 484,260,496,220.85 = 322,840,330,813.90 : x
  2. Step 2: Convert to fraction form
    322,840,330,813.90/484,260,496,220.85 = 322,840,330,813.90/x
  3. Step 3: Cross multiply
    322,840,330,813.90x = 484,260,496,220.85 × 322,840,330,813.90
  4. Step 4: Simplify right side
    322,840,330,813.90x = 156,338,818,800,042,586,931,200
  5. Step 5: Solve for x
    x = 156,338,818,800,042,586,931,200/322,840,330,813.90
  6. Step 6: Final answer
    x = 484,260,496,220.85

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1.5x scale

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.