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Finding the Fourth Proportional to 2,458,019,732.15, 3,687,029,598.23 and 2,458,019,732.15

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Solution

The fourth proportional to 2,458,019,732.15, 3,687,029,598.23 and 2,458,019,732.15 is: 3,687,029,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,019,732.15 : 3,687,029,598.23 = 2,458,019,732.15 : x
  2. Step 2: Convert to fraction form
    2,458,019,732.15/3,687,029,598.23 = 2,458,019,732.15/x
  3. Step 3: Cross multiply
    2,458,019,732.15x = 3,687,029,598.23 × 2,458,019,732.15
  4. Step 4: Simplify right side
    2,458,019,732.15x = 9,062,791,505,470,427,136
  5. Step 5: Solve for x
    x = 9,062,791,505,470,427,136/2,458,019,732.15
  6. Step 6: Final answer
    x = 3,687,029,598.23

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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.