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Finding the Fourth Proportional to 205,726,716,751.89, 308,590,075,127.84 and 205,726,716,751.89

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Solution

The fourth proportional to 205,726,716,751.89, 308,590,075,127.84 and 205,726,716,751.89 is: 308,590,075,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,726,716,751.89 : 308,590,075,127.84 = 205,726,716,751.89 : x
  2. Step 2: Convert to fraction form
    205,726,716,751.89/308,590,075,127.84 = 205,726,716,751.89/x
  3. Step 3: Cross multiply
    205,726,716,751.89x = 308,590,075,127.84 × 205,726,716,751.89
  4. Step 4: Simplify right side
    205,726,716,751.89x = 63,485,222,978,269,608,935,424
  5. Step 5: Solve for x
    x = 63,485,222,978,269,608,935,424/205,726,716,751.89
  6. Step 6: Final answer
    x = 308,590,075,127.84

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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.