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Finding the Fourth Proportional to 205,726,716,734.45, 308,590,075,101.67 and 205,726,716,734.45

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Solution

The fourth proportional to 205,726,716,734.45, 308,590,075,101.67 and 205,726,716,734.45 is: 308,590,075,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,726,716,734.45 : 308,590,075,101.67 = 205,726,716,734.45 : x
  2. Step 2: Convert to fraction form
    205,726,716,734.45/308,590,075,101.67 = 205,726,716,734.45/x
  3. Step 3: Cross multiply
    205,726,716,734.45x = 308,590,075,101.67 × 205,726,716,734.45
  4. Step 4: Simplify right side
    205,726,716,734.45x = 63,485,222,967,503,912,697,856
  5. Step 5: Solve for x
    x = 63,485,222,967,503,912,697,856/205,726,716,734.45
  6. Step 6: Final answer
    x = 308,590,075,101.67

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1.5x scale

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.