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Finding the Fourth Proportional to 206,858,745,075.70, 310,288,117,613.55 and 206,858,745,075.70

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Solution

The fourth proportional to 206,858,745,075.70, 310,288,117,613.55 and 206,858,745,075.70 is: 310,288,117,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,745,075.70 : 310,288,117,613.55 = 206,858,745,075.70 : x
  2. Step 2: Convert to fraction form
    206,858,745,075.70/310,288,117,613.55 = 206,858,745,075.70/x
  3. Step 3: Cross multiply
    206,858,745,075.70x = 310,288,117,613.55 × 206,858,745,075.70
  4. Step 4: Simplify right side
    206,858,745,075.70x = 64,185,810,621,440,163,053,568
  5. Step 5: Solve for x
    x = 64,185,810,621,440,163,053,568/206,858,745,075.70
  6. Step 6: Final answer
    x = 310,288,117,613.55

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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.