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Finding the Fourth Proportional to 121,623,571,243.90, 170,505,189,857.30 and 121,623,571,243.90

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Solution

The fourth proportional to 121,623,571,243.90, 170,505,189,857.30 and 121,623,571,243.90 is: 170,505,189,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,623,571,243.90 : 170,505,189,857.30 = 121,623,571,243.90 : x
  2. Step 2: Convert to fraction form
    121,623,571,243.90/170,505,189,857.30 = 121,623,571,243.90/x
  3. Step 3: Cross multiply
    121,623,571,243.90x = 170,505,189,857.30 × 121,623,571,243.90
  4. Step 4: Simplify right side
    121,623,571,243.90x = 20,737,450,106,064,019,128,320
  5. Step 5: Solve for x
    x = 20,737,450,106,064,019,128,320/121,623,571,243.90
  6. Step 6: Final answer
    x = 170,505,189,857.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.