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Finding the Fourth Proportional to 310,287,389,930.88, 465,431,084,896.30 and 310,287,389,930.88

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Solution

The fourth proportional to 310,287,389,930.88, 465,431,084,896.30 and 310,287,389,930.88 is: 465,431,084,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287,389,930.88 : 465,431,084,896.30 = 310,287,389,930.88 : x
  2. Step 2: Convert to fraction form
    310,287,389,930.88/465,431,084,896.30 = 310,287,389,930.88/x
  3. Step 3: Cross multiply
    310,287,389,930.88x = 465,431,084,896.30 × 310,287,389,930.88
  4. Step 4: Simplify right side
    310,287,389,930.88x = 144,417,396,525,170,750,914,560
  5. Step 5: Solve for x
    x = 144,417,396,525,170,750,914,560/310,287,389,930.88
  6. Step 6: Final answer
    x = 465,431,084,896.30

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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.