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Finding the Fourth Proportional to 43,460,064,015.82, 65,190,096,023.73 and 43,460,064,015.82

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Solution

The fourth proportional to 43,460,064,015.82, 65,190,096,023.73 and 43,460,064,015.82 is: 65,190,096,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460,064,015.82 : 65,190,096,023.73 = 43,460,064,015.82 : x
  2. Step 2: Convert to fraction form
    43,460,064,015.82/65,190,096,023.73 = 43,460,064,015.82/x
  3. Step 3: Cross multiply
    43,460,064,015.82x = 65,190,096,023.73 × 43,460,064,015.82
  4. Step 4: Simplify right side
    43,460,064,015.82x = 2,833,165,746,388,389,068,800
  5. Step 5: Solve for x
    x = 2,833,165,746,388,389,068,800/43,460,064,015.82
  6. Step 6: Final answer
    x = 65,190,096,023.73

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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.