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Finding the Fourth Proportional to 465,477,144.68, 642,971,625.84 and 345,019,327.18

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Solution

The fourth proportional to 465,477,144.68, 642,971,625.84 and 345,019,327.18 is: 476,581,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,477,144.68 : 642,971,625.84 = 345,019,327.18 : x
  2. Step 2: Convert to fraction form
    465,477,144.68/642,971,625.84 = 345,019,327.18/x
  3. Step 3: Cross multiply
    465,477,144.68x = 642,971,625.84 × 345,019,327.18
  4. Step 4: Simplify right side
    465,477,144.68x = 221,837,637,741,540,096
  5. Step 5: Solve for x
    x = 221,837,637,741,540,096/465,477,144.68
  6. Step 6: Final answer
    x = 476,581,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.