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Finding the Fourth Proportional to 11,765,647,514.40, 17,648,471,271.60 and 11,765,647,514.40

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Solution

The fourth proportional to 11,765,647,514.40, 17,648,471,271.60 and 11,765,647,514.40 is: 17,648,471,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765,647,514.40 : 17,648,471,271.60 = 11,765,647,514.40 : x
  2. Step 2: Convert to fraction form
    11,765,647,514.40/17,648,471,271.60 = 11,765,647,514.40/x
  3. Step 3: Cross multiply
    11,765,647,514.40x = 17,648,471,271.60 × 11,765,647,514.40
  4. Step 4: Simplify right side
    11,765,647,514.40x = 207,645,692,149,660,319,744
  5. Step 5: Solve for x
    x = 207,645,692,149,660,319,744/11,765,647,514.40
  6. Step 6: Final answer
    x = 17,648,471,271.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.