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Finding the Fourth Proportional to 16,143,670,494.90, 24,215,505,742.35 and 16,143,670,494.90

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Solution

The fourth proportional to 16,143,670,494.90, 24,215,505,742.35 and 16,143,670,494.90 is: 24,215,505,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143,670,494.90 : 24,215,505,742.35 = 16,143,670,494.90 : x
  2. Step 2: Convert to fraction form
    16,143,670,494.90/24,215,505,742.35 = 16,143,670,494.90/x
  3. Step 3: Cross multiply
    16,143,670,494.90x = 24,215,505,742.35 × 16,143,670,494.90
  4. Step 4: Simplify right side
    16,143,670,494.90x = 390,927,145,571,857,203,200
  5. Step 5: Solve for x
    x = 390,927,145,571,857,203,200/16,143,670,494.90
  6. Step 6: Final answer
    x = 24,215,505,742.35

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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.