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Finding the Fourth Proportional to 3,188,103,625,970, 4,782,155,438,955 and 3,188,103,625,970

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Solution

The fourth proportional to 3,188,103,625,970, 4,782,155,438,955 and 3,188,103,625,970 is: 4,782,155,438,955

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,625,970 : 4,782,155,438,955 = 3,188,103,625,970 : x
  2. Step 2: Convert to fraction form
    3,188,103,625,970/4,782,155,438,955 = 3,188,103,625,970/x
  3. Step 3: Cross multiply
    3,188,103,625,970x = 4,782,155,438,955 × 3,188,103,625,970
  4. Step 4: Simplify right side
    3,188,103,625,970x = 15,246,007,094,884,591,709,716,480
  5. Step 5: Solve for x
    x = 15,246,007,094,884,591,709,716,480/3,188,103,625,970
  6. Step 6: Final answer
    x = 4,782,155,438,955

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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.