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Finding the Fourth Proportional to 20,194,758,069.30, 30,292,137,103.95 and 20,194,758,069.30

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Solution

The fourth proportional to 20,194,758,069.30, 30,292,137,103.95 and 20,194,758,069.30 is: 30,292,137,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194,758,069.30 : 30,292,137,103.95 = 20,194,758,069.30 : x
  2. Step 2: Convert to fraction form
    20,194,758,069.30/30,292,137,103.95 = 20,194,758,069.30/x
  3. Step 3: Cross multiply
    20,194,758,069.30x = 30,292,137,103.95 × 20,194,758,069.30
  4. Step 4: Simplify right side
    20,194,758,069.30x = 611,742,380,216,336,252,928
  5. Step 5: Solve for x
    x = 611,742,380,216,336,252,928/20,194,758,069.30
  6. Step 6: Final answer
    x = 30,292,137,103.95

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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.