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Finding the Fourth Proportional to 13,288,356,200.90, 19,932,534,301.35 and 13,288,356,200.90

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Solution

The fourth proportional to 13,288,356,200.90, 19,932,534,301.35 and 13,288,356,200.90 is: 19,932,534,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288,356,200.90 : 19,932,534,301.35 = 13,288,356,200.90 : x
  2. Step 2: Convert to fraction form
    13,288,356,200.90/19,932,534,301.35 = 13,288,356,200.90/x
  3. Step 3: Cross multiply
    13,288,356,200.90x = 19,932,534,301.35 × 13,288,356,200.90
  4. Step 4: Simplify right side
    13,288,356,200.90x = 264,870,615,782,996,180,992
  5. Step 5: Solve for x
    x = 264,870,615,782,996,180,992/13,288,356,200.90
  6. Step 6: Final answer
    x = 19,932,534,301.35

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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.