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Finding the Fourth Proportional to 521,545,686,716.80, 782,318,530,075.20 and 521,545,686,716.80

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Solution

The fourth proportional to 521,545,686,716.80, 782,318,530,075.20 and 521,545,686,716.80 is: 782,318,530,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,545,686,716.80 : 782,318,530,075.20 = 521,545,686,716.80 : x
  2. Step 2: Convert to fraction form
    521,545,686,716.80/782,318,530,075.20 = 521,545,686,716.80/x
  3. Step 3: Cross multiply
    521,545,686,716.80x = 782,318,530,075.20 × 521,545,686,716.80
  4. Step 4: Simplify right side
    521,545,686,716.80x = 408,014,854,999,347,677,888,512
  5. Step 5: Solve for x
    x = 408,014,854,999,347,677,888,512/521,545,686,716.80
  6. Step 6: Final answer
    x = 782,318,530,075.20

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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.