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Finding the Fourth Proportional to 405,969,408,727.20, 608,954,113,090.80 and 405,969,408,727.20

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Solution

The fourth proportional to 405,969,408,727.20, 608,954,113,090.80 and 405,969,408,727.20 is: 608,954,113,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969,408,727.20 : 608,954,113,090.80 = 405,969,408,727.20 : x
  2. Step 2: Convert to fraction form
    405,969,408,727.20/608,954,113,090.80 = 405,969,408,727.20/x
  3. Step 3: Cross multiply
    405,969,408,727.20x = 608,954,113,090.80 × 405,969,408,727.20
  4. Step 4: Simplify right side
    405,969,408,727.20x = 247,216,741,233,468,595,240,960
  5. Step 5: Solve for x
    x = 247,216,741,233,468,595,240,960/405,969,408,727.20
  6. Step 6: Final answer
    x = 608,954,113,090.80

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Why These Related Problems?

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