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Finding the Fourth Proportional to 206,876,716,751.70, 310,315,075,127.55 and 206,876,716,751.70

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Solution

The fourth proportional to 206,876,716,751.70, 310,315,075,127.55 and 206,876,716,751.70 is: 310,315,075,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,716,751.70 : 310,315,075,127.55 = 206,876,716,751.70 : x
  2. Step 2: Convert to fraction form
    206,876,716,751.70/310,315,075,127.55 = 206,876,716,751.70/x
  3. Step 3: Cross multiply
    206,876,716,751.70x = 310,315,075,127.55 × 206,876,716,751.70
  4. Step 4: Simplify right side
    206,876,716,751.70x = 64,196,963,900,944,665,280,512
  5. Step 5: Solve for x
    x = 64,196,963,900,944,665,280,512/206,876,716,751.70
  6. Step 6: Final answer
    x = 310,315,075,127.55

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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.