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Finding the Fourth Proportional to 13,804,767,271.85, 20,707,150,907.78 and 13,804,767,271.85

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Solution

The fourth proportional to 13,804,767,271.85, 20,707,150,907.78 and 13,804,767,271.85 is: 20,707,150,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804,767,271.85 : 20,707,150,907.78 = 13,804,767,271.85 : x
  2. Step 2: Convert to fraction form
    13,804,767,271.85/20,707,150,907.78 = 13,804,767,271.85/x
  3. Step 3: Cross multiply
    13,804,767,271.85x = 20,707,150,907.78 × 13,804,767,271.85
  4. Step 4: Simplify right side
    13,804,767,271.85x = 285,857,399,144,980,348,928
  5. Step 5: Solve for x
    x = 285,857,399,144,980,348,928/13,804,767,271.85
  6. Step 6: Final answer
    x = 20,707,150,907.78

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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.