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Finding the Fourth Proportional to 206,876,706,800.10, 310,315,060,200.14 and 206,876,706,800.10

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Solution

The fourth proportional to 206,876,706,800.10, 310,315,060,200.14 and 206,876,706,800.10 is: 310,315,060,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,800.10 : 310,315,060,200.14 = 206,876,706,800.10 : x
  2. Step 2: Convert to fraction form
    206,876,706,800.10/310,315,060,200.14 = 206,876,706,800.10/x
  3. Step 3: Cross multiply
    206,876,706,800.10x = 310,315,060,200.14 × 206,876,706,800.10
  4. Step 4: Simplify right side
    206,876,706,800.10x = 64,196,957,724,679,746,879,488
  5. Step 5: Solve for x
    x = 64,196,957,724,679,746,879,488/206,876,706,800.10
  6. Step 6: Final answer
    x = 310,315,060,200.14

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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.