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Finding the Fourth Proportional to 206,858,259,969.51, 310,287,389,954.27 and 206,858,259,969.51

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Solution

The fourth proportional to 206,858,259,969.51, 310,287,389,954.27 and 206,858,259,969.51 is: 310,287,389,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,259,969.51 : 310,287,389,954.27 = 206,858,259,969.51 : x
  2. Step 2: Convert to fraction form
    206,858,259,969.51/310,287,389,954.27 = 206,858,259,969.51/x
  3. Step 3: Cross multiply
    206,858,259,969.51x = 310,287,389,954.27 × 206,858,259,969.51
  4. Step 4: Simplify right side
    206,858,259,969.51x = 64,185,509,576,421,119,361,024
  5. Step 5: Solve for x
    x = 64,185,509,576,421,119,361,024/206,858,259,969.51
  6. Step 6: Final answer
    x = 310,287,389,954.27

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1.5x scale

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.