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Finding the Fourth Proportional to 13,442,880,198.30, 20,164,320,297.45 and 13,442,880,198.30

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Solution

The fourth proportional to 13,442,880,198.30, 20,164,320,297.45 and 13,442,880,198.30 is: 20,164,320,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,880,198.30 : 20,164,320,297.45 = 13,442,880,198.30 : x
  2. Step 2: Convert to fraction form
    13,442,880,198.30/20,164,320,297.45 = 13,442,880,198.30/x
  3. Step 3: Cross multiply
    13,442,880,198.30x = 20,164,320,297.45 × 13,442,880,198.30
  4. Step 4: Simplify right side
    13,442,880,198.30x = 271,066,542,038,769,369,088
  5. Step 5: Solve for x
    x = 271,066,542,038,769,369,088/13,442,880,198.30
  6. Step 6: Final answer
    x = 20,164,320,297.45

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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.