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Finding the Fourth Proportional to 206,876,706,735.02, 310,315,060,102.52 and 206,876,706,735.02

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Solution

The fourth proportional to 206,876,706,735.02, 310,315,060,102.52 and 206,876,706,735.02 is: 310,315,060,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,735.02 : 310,315,060,102.52 = 206,876,706,735.02 : x
  2. Step 2: Convert to fraction form
    206,876,706,735.02/310,315,060,102.52 = 206,876,706,735.02/x
  3. Step 3: Cross multiply
    206,876,706,735.02x = 310,315,060,102.52 × 206,876,706,735.02
  4. Step 4: Simplify right side
    206,876,706,735.02x = 64,196,957,684,289,136,230,400
  5. Step 5: Solve for x
    x = 64,196,957,684,289,136,230,400/206,876,706,735.02
  6. Step 6: Final answer
    x = 310,315,060,102.52

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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.