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Finding the Fourth Proportional to 209,898,489,728.46, 314,847,734,592.66 and 209,898,489,728.46

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Solution

The fourth proportional to 209,898,489,728.46, 314,847,734,592.66 and 209,898,489,728.46 is: 314,847,734,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898,489,728.46 : 314,847,734,592.66 = 209,898,489,728.46 : x
  2. Step 2: Convert to fraction form
    209,898,489,728.46/314,847,734,592.66 = 209,898,489,728.46/x
  3. Step 3: Cross multiply
    209,898,489,728.46x = 314,847,734,592.66 × 209,898,489,728.46
  4. Step 4: Simplify right side
    209,898,489,728.46x = 66,086,063,985,426,337,628,160
  5. Step 5: Solve for x
    x = 66,086,063,985,426,337,628,160/209,898,489,728.46
  6. Step 6: Final answer
    x = 314,847,734,592.66

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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.