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Finding the Fourth Proportional to 3,922,995,327,713.20, 5,884,492,991,569.60 and 3,922,995,327,713.20

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Solution

The fourth proportional to 3,922,995,327,713.20, 5,884,492,991,569.60 and 3,922,995,327,713.20 is: 5,884,492,991,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922,995,327,713.20 : 5,884,492,991,569.60 = 3,922,995,327,713.20 : x
  2. Step 2: Convert to fraction form
    3,922,995,327,713.20/5,884,492,991,569.60 = 3,922,995,327,713.20/x
  3. Step 3: Cross multiply
    3,922,995,327,713.20x = 5,884,492,991,569.60 × 3,922,995,327,713.20
  4. Step 4: Simplify right side
    3,922,995,327,713.20x = 23,084,838,511,888,609,992,245,248
  5. Step 5: Solve for x
    x = 23,084,838,511,888,609,992,245,248/3,922,995,327,713.20
  6. Step 6: Final answer
    x = 5,884,492,991,569.60

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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.