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Finding the Fourth Proportional to 302,763,093,999.30, 454,144,640,998.95 and 302,763,093,999.30

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Solution

The fourth proportional to 302,763,093,999.30, 454,144,640,998.95 and 302,763,093,999.30 is: 454,144,640,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,763,093,999.30 : 454,144,640,998.95 = 302,763,093,999.30 : x
  2. Step 2: Convert to fraction form
    302,763,093,999.30/454,144,640,998.95 = 302,763,093,999.30/x
  3. Step 3: Cross multiply
    302,763,093,999.30x = 454,144,640,998.95 × 302,763,093,999.30
  4. Step 4: Simplify right side
    302,763,093,999.30x = 137,498,236,632,043,442,143,232
  5. Step 5: Solve for x
    x = 137,498,236,632,043,442,143,232/302,763,093,999.30
  6. Step 6: Final answer
    x = 454,144,640,998.95

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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.