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Finding the Fourth Proportional to 13,453,998,889.05, 20,180,998,333.58 and 13,453,998,889.05

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Solution

The fourth proportional to 13,453,998,889.05, 20,180,998,333.58 and 13,453,998,889.05 is: 20,180,998,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453,998,889.05 : 20,180,998,333.58 = 13,453,998,889.05 : x
  2. Step 2: Convert to fraction form
    13,453,998,889.05/20,180,998,333.58 = 13,453,998,889.05/x
  3. Step 3: Cross multiply
    13,453,998,889.05x = 20,180,998,333.58 × 13,453,998,889.05
  4. Step 4: Simplify right side
    13,453,998,889.05x = 271,515,129,159,837,941,760
  5. Step 5: Solve for x
    x = 271,515,129,159,837,941,760/13,453,998,889.05
  6. Step 6: Final answer
    x = 20,180,998,333.58

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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.