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Finding the Fourth Proportional to 218,050,358,722.20, 327,075,538,083.30 and 218,050,358,722.20

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Solution

The fourth proportional to 218,050,358,722.20, 327,075,538,083.30 and 218,050,358,722.20 is: 327,075,538,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,358,722.20 : 327,075,538,083.30 = 218,050,358,722.20 : x
  2. Step 2: Convert to fraction form
    218,050,358,722.20/327,075,538,083.30 = 218,050,358,722.20/x
  3. Step 3: Cross multiply
    218,050,358,722.20x = 327,075,538,083.30 × 218,050,358,722.20
  4. Step 4: Simplify right side
    218,050,358,722.20x = 71,318,938,408,320,151,584,768
  5. Step 5: Solve for x
    x = 71,318,938,408,320,151,584,768/218,050,358,722.20
  6. Step 6: Final answer
    x = 327,075,538,083.30

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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.