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Finding the Fourth Proportional to 209,898,489,731.46, 314,847,734,597.16 and 209,898,489,731.46

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Solution

The fourth proportional to 209,898,489,731.46, 314,847,734,597.16 and 209,898,489,731.46 is: 314,847,734,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,898,489,731.46 : 314,847,734,597.16 = 209,898,489,731.46 : x
  2. Step 2: Convert to fraction form
    209,898,489,731.46/314,847,734,597.16 = 209,898,489,731.46/x
  3. Step 3: Cross multiply
    209,898,489,731.46x = 314,847,734,597.16 × 209,898,489,731.46
  4. Step 4: Simplify right side
    209,898,489,731.46x = 66,086,063,987,315,426,983,936
  5. Step 5: Solve for x
    x = 66,086,063,987,315,426,983,936/209,898,489,731.46
  6. Step 6: Final answer
    x = 314,847,734,597.16

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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.