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Finding the Fourth Proportional to 225,458,050,627.80, 338,187,075,941.70 and 225,458,050,627.80

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Solution

The fourth proportional to 225,458,050,627.80, 338,187,075,941.70 and 225,458,050,627.80 is: 338,187,075,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,458,050,627.80 : 338,187,075,941.70 = 225,458,050,627.80 : x
  2. Step 2: Convert to fraction form
    225,458,050,627.80/338,187,075,941.70 = 225,458,050,627.80/x
  3. Step 3: Cross multiply
    225,458,050,627.80x = 338,187,075,941.70 × 225,458,050,627.80
  4. Step 4: Simplify right side
    225,458,050,627.80x = 76,246,998,889,331,439,960,064
  5. Step 5: Solve for x
    x = 76,246,998,889,331,439,960,064/225,458,050,627.80
  6. Step 6: Final answer
    x = 338,187,075,941.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.