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Finding the Fourth Proportional to 3,188,103,639,207, 4,782,155,458,810.10 and 3,188,103,639,207

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Solution

The fourth proportional to 3,188,103,639,207, 4,782,155,458,810.10 and 3,188,103,639,207 is: 4,782,155,458,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,639,207 : 4,782,155,458,810.10 = 3,188,103,639,207 : x
  2. Step 2: Convert to fraction form
    3,188,103,639,207/4,782,155,458,810.10 = 3,188,103,639,207/x
  3. Step 3: Cross multiply
    3,188,103,639,207x = 4,782,155,458,810.10 × 3,188,103,639,207
  4. Step 4: Simplify right side
    3,188,103,639,207x = 15,246,007,221,486,099,300,876,288
  5. Step 5: Solve for x
    x = 15,246,007,221,486,099,300,876,288/3,188,103,639,207
  6. Step 6: Final answer
    x = 4,782,155,458,810.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.