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Finding the Fourth Proportional to 486,515,232,015.45, 729,772,848,023.20 and 486,515,232,015.45

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Solution

The fourth proportional to 486,515,232,015.45, 729,772,848,023.20 and 486,515,232,015.45 is: 729,772,848,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,515,232,015.45 : 729,772,848,023.20 = 486,515,232,015.45 : x
  2. Step 2: Convert to fraction form
    486,515,232,015.45/729,772,848,023.20 = 486,515,232,015.45/x
  3. Step 3: Cross multiply
    486,515,232,015.45x = 729,772,848,023.20 × 486,515,232,015.45
  4. Step 4: Simplify right side
    486,515,232,015.45x = 355,045,606,474,582,841,098,240
  5. Step 5: Solve for x
    x = 355,045,606,474,582,841,098,240/486,515,232,015.45
  6. Step 6: Final answer
    x = 729,772,848,023.20

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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.