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Finding the Fourth Proportional to 20,164,564,015.95, 30,246,846,023.93 and 20,164,564,015.95

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Solution

The fourth proportional to 20,164,564,015.95, 30,246,846,023.93 and 20,164,564,015.95 is: 30,246,846,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164,564,015.95 : 30,246,846,023.93 = 20,164,564,015.95 : x
  2. Step 2: Convert to fraction form
    20,164,564,015.95/30,246,846,023.93 = 20,164,564,015.95/x
  3. Step 3: Cross multiply
    20,164,564,015.95x = 30,246,846,023.93 × 20,164,564,015.95
  4. Step 4: Simplify right side
    20,164,564,015.95x = 609,914,462,930,119,294,976
  5. Step 5: Solve for x
    x = 609,914,462,930,119,294,976/20,164,564,015.95
  6. Step 6: Final answer
    x = 30,246,846,023.93

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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.