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Finding the Fourth Proportional to 206,858,259,980.52, 310,287,389,970.78 and 206,858,259,980.52

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Solution

The fourth proportional to 206,858,259,980.52, 310,287,389,970.78 and 206,858,259,980.52 is: 310,287,389,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,259,980.52 : 310,287,389,970.78 = 206,858,259,980.52 : x
  2. Step 2: Convert to fraction form
    206,858,259,980.52/310,287,389,970.78 = 206,858,259,980.52/x
  3. Step 3: Cross multiply
    206,858,259,980.52x = 310,287,389,970.78 × 206,858,259,980.52
  4. Step 4: Simplify right side
    206,858,259,980.52x = 64,185,509,583,252,608,778,240
  5. Step 5: Solve for x
    x = 64,185,509,583,252,608,778,240/206,858,259,980.52
  6. Step 6: Final answer
    x = 310,287,389,970.78

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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.