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Finding the Fourth Proportional to 13,442,861,175.30, 20,164,291,762.95 and 13,442,861,175.30

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Solution

The fourth proportional to 13,442,861,175.30, 20,164,291,762.95 and 13,442,861,175.30 is: 20,164,291,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,861,175.30 : 20,164,291,762.95 = 13,442,861,175.30 : x
  2. Step 2: Convert to fraction form
    13,442,861,175.30/20,164,291,762.95 = 13,442,861,175.30/x
  3. Step 3: Cross multiply
    13,442,861,175.30x = 20,164,291,762.95 × 13,442,861,175.30
  4. Step 4: Simplify right side
    13,442,861,175.30x = 271,065,774,867,582,156,800
  5. Step 5: Solve for x
    x = 271,065,774,867,582,156,800/13,442,861,175.30
  6. Step 6: Final answer
    x = 20,164,291,762.95

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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.