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Finding the Fourth Proportional to 3,188,103,628,538, 4,782,155,442,807 and 3,188,103,628,538

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Solution

The fourth proportional to 3,188,103,628,538, 4,782,155,442,807 and 3,188,103,628,538 is: 4,782,155,442,807

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,628,538 : 4,782,155,442,807 = 3,188,103,628,538 : x
  2. Step 2: Convert to fraction form
    3,188,103,628,538/4,782,155,442,807 = 3,188,103,628,538/x
  3. Step 3: Cross multiply
    3,188,103,628,538x = 4,782,155,442,807 × 3,188,103,628,538
  4. Step 4: Simplify right side
    3,188,103,628,538x = 15,246,007,119,445,742,296,498,176
  5. Step 5: Solve for x
    x = 15,246,007,119,445,742,296,498,176/3,188,103,628,538
  6. Step 6: Final answer
    x = 4,782,155,442,807

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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.