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Finding the Fourth Proportional to 11,644,810,200.90, 17,467,215,301.35 and 11,644,810,200.90

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Solution

The fourth proportional to 11,644,810,200.90, 17,467,215,301.35 and 11,644,810,200.90 is: 17,467,215,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644,810,200.90 : 17,467,215,301.35 = 11,644,810,200.90 : x
  2. Step 2: Convert to fraction form
    11,644,810,200.90/17,467,215,301.35 = 11,644,810,200.90/x
  3. Step 3: Cross multiply
    11,644,810,200.90x = 17,467,215,301.35 × 11,644,810,200.90
  4. Step 4: Simplify right side
    11,644,810,200.90x = 203,402,406,922,477,010,944
  5. Step 5: Solve for x
    x = 203,402,406,922,477,010,944/11,644,810,200.90
  6. Step 6: Final answer
    x = 17,467,215,301.35

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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.