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Finding the Fourth Proportional to 3,188,103,625,594, 4,782,155,438,391 and 3,188,103,625,594

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Solution

The fourth proportional to 3,188,103,625,594, 4,782,155,438,391 and 3,188,103,625,594 is: 4,782,155,438,391

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,594 : 4,782,155,438,391 = 3,188,103,625,594 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,594/4,782,155,438,391 = 3,188,103,625,594/x
  3. Step 3: Cross multiply
    3,188,103,625,594x = 4,782,155,438,391 × 3,188,103,625,594
  4. Step 4: Simplify right side
    3,188,103,625,594x = 15,246,007,091,288,411,297,808,384
  5. Step 5: Solve for x
    x = 15,246,007,091,288,411,297,808,384/3,188,103,625,594
  6. Step 6: Final answer
    x = 4,782,155,438,391

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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.