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Finding the Fourth Proportional to 2,942,246,463,367, 4,413,369,695,050.40 and 2,942,246,463,367

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Solution

The fourth proportional to 2,942,246,463,367, 4,413,369,695,050.40 and 2,942,246,463,367 is: 4,413,369,695,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,246,463,367 : 4,413,369,695,050.40 = 2,942,246,463,367 : x
  2. Step 2: Convert to fraction form
    2,942,246,463,367/4,413,369,695,050.40 = 2,942,246,463,367/x
  3. Step 3: Cross multiply
    2,942,246,463,367x = 4,413,369,695,050.40 × 2,942,246,463,367
  4. Step 4: Simplify right side
    2,942,246,463,367x = 12,985,221,376,793,135,932,243,968
  5. Step 5: Solve for x
    x = 12,985,221,376,793,135,932,243,968/2,942,246,463,367
  6. Step 6: Final answer
    x = 4,413,369,695,050.40

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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.