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Finding the Fourth Proportional to 612,810,522,085.70, 919,215,783,128.55 and 612,810,522,085.70

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Solution

The fourth proportional to 612,810,522,085.70, 919,215,783,128.55 and 612,810,522,085.70 is: 919,215,783,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,810,522,085.70 : 919,215,783,128.55 = 612,810,522,085.70 : x
  2. Step 2: Convert to fraction form
    612,810,522,085.70/919,215,783,128.55 = 612,810,522,085.70/x
  3. Step 3: Cross multiply
    612,810,522,085.70x = 919,215,783,128.55 × 612,810,522,085.70
  4. Step 4: Simplify right side
    612,810,522,085.70x = 563,305,103,968,422,315,687,936
  5. Step 5: Solve for x
    x = 563,305,103,968,422,315,687,936/612,810,522,085.70
  6. Step 6: Final answer
    x = 919,215,783,128.55

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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.