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Finding the Fourth Proportional to 205,726,716,893.80, 308,590,075,340.70 and 205,726,716,893.80

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Solution

The fourth proportional to 205,726,716,893.80, 308,590,075,340.70 and 205,726,716,893.80 is: 308,590,075,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,726,716,893.80 : 308,590,075,340.70 = 205,726,716,893.80 : x
  2. Step 2: Convert to fraction form
    205,726,716,893.80/308,590,075,340.70 = 205,726,716,893.80/x
  3. Step 3: Cross multiply
    205,726,716,893.80x = 308,590,075,340.70 × 205,726,716,893.80
  4. Step 4: Simplify right side
    205,726,716,893.80x = 63,485,223,065,852,598,812,672
  5. Step 5: Solve for x
    x = 63,485,223,065,852,598,812,672/205,726,716,893.80
  6. Step 6: Final answer
    x = 308,590,075,340.70

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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.