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Finding the Fourth Proportional to 154,845,327,255.01, 232,267,990,882.51 and 154,845,327,255.01

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Solution

The fourth proportional to 154,845,327,255.01, 232,267,990,882.51 and 154,845,327,255.01 is: 232,267,990,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,845,327,255.01 : 232,267,990,882.51 = 154,845,327,255.01 : x
  2. Step 2: Convert to fraction form
    154,845,327,255.01/232,267,990,882.51 = 154,845,327,255.01/x
  3. Step 3: Cross multiply
    154,845,327,255.01x = 232,267,990,882.51 × 154,845,327,255.01
  4. Step 4: Simplify right side
    154,845,327,255.01x = 35,965,613,059,065,943,949,312
  5. Step 5: Solve for x
    x = 35,965,613,059,065,943,949,312/154,845,327,255.01
  6. Step 6: Final answer
    x = 232,267,990,882.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.