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Finding the Fourth Proportional to 6,743,063,721.30, 10,114,595,581.95 and 6,743,063,721.30

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Solution

The fourth proportional to 6,743,063,721.30, 10,114,595,581.95 and 6,743,063,721.30 is: 10,114,595,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743,063,721.30 : 10,114,595,581.95 = 6,743,063,721.30 : x
  2. Step 2: Convert to fraction form
    6,743,063,721.30/10,114,595,581.95 = 6,743,063,721.30/x
  3. Step 3: Cross multiply
    6,743,063,721.30x = 10,114,595,581.95 × 6,743,063,721.30
  4. Step 4: Simplify right side
    6,743,063,721.30x = 68,203,362,524,268,314,624
  5. Step 5: Solve for x
    x = 68,203,362,524,268,314,624/6,743,063,721.30
  6. Step 6: Final answer
    x = 10,114,595,581.95

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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.