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Finding the Fourth Proportional to 13,398,045,197.30, 20,097,067,795.95 and 13,398,045,197.30

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Solution

The fourth proportional to 13,398,045,197.30, 20,097,067,795.95 and 13,398,045,197.30 is: 20,097,067,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398,045,197.30 : 20,097,067,795.95 = 13,398,045,197.30 : x
  2. Step 2: Convert to fraction form
    13,398,045,197.30/20,097,067,795.95 = 13,398,045,197.30/x
  3. Step 3: Cross multiply
    13,398,045,197.30x = 20,097,067,795.95 × 13,398,045,197.30
  4. Step 4: Simplify right side
    13,398,045,197.30x = 269,261,422,663,340,392,448
  5. Step 5: Solve for x
    x = 269,261,422,663,340,392,448/13,398,045,197.30
  6. Step 6: Final answer
    x = 20,097,067,795.95

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1.5x scale

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.