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Finding the Fourth Proportional to 38,324,563,407.70, 57,486,845,111.55 and 38,324,563,407.70

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Solution

The fourth proportional to 38,324,563,407.70, 57,486,845,111.55 and 38,324,563,407.70 is: 57,486,845,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324,563,407.70 : 57,486,845,111.55 = 38,324,563,407.70 : x
  2. Step 2: Convert to fraction form
    38,324,563,407.70/57,486,845,111.55 = 38,324,563,407.70/x
  3. Step 3: Cross multiply
    38,324,563,407.70x = 57,486,845,111.55 × 38,324,563,407.70
  4. Step 4: Simplify right side
    38,324,563,407.70x = 2,203,158,240,586,226,728,960
  5. Step 5: Solve for x
    x = 2,203,158,240,586,226,728,960/38,324,563,407.70
  6. Step 6: Final answer
    x = 57,486,845,111.55

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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.