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Finding the Fourth Proportional to 12,038,733,216,674, 18,058,099,825,011 and 12,038,733,216,674

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Solution

The fourth proportional to 12,038,733,216,674, 18,058,099,825,011 and 12,038,733,216,674 is: 18,058,099,825,011

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038,733,216,674 : 18,058,099,825,011 = 12,038,733,216,674 : x
  2. Step 2: Convert to fraction form
    12,038,733,216,674/18,058,099,825,011 = 12,038,733,216,674/x
  3. Step 3: Cross multiply
    12,038,733,216,674x = 18,058,099,825,011 × 12,038,733,216,674
  4. Step 4: Simplify right side
    12,038,733,216,674x = 217,396,646,193,374,879,903,907,840
  5. Step 5: Solve for x
    x = 217,396,646,193,374,879,903,907,840/12,038,733,216,674
  6. Step 6: Final answer
    x = 18,058,099,825,011

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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.