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Finding the Fourth Proportional to 254,916,407,849.80, 382,374,611,774.70 and 254,916,407,849.80

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Solution

The fourth proportional to 254,916,407,849.80, 382,374,611,774.70 and 254,916,407,849.80 is: 382,374,611,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,916,407,849.80 : 382,374,611,774.70 = 254,916,407,849.80 : x
  2. Step 2: Convert to fraction form
    254,916,407,849.80/382,374,611,774.70 = 254,916,407,849.80/x
  3. Step 3: Cross multiply
    254,916,407,849.80x = 382,374,611,774.70 × 254,916,407,849.80
  4. Step 4: Simplify right side
    254,916,407,849.80x = 97,473,562,486,568,353,005,568
  5. Step 5: Solve for x
    x = 97,473,562,486,568,353,005,568/254,916,407,849.80
  6. Step 6: Final answer
    x = 382,374,611,774.70

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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.