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Finding the Fourth Proportional to 327,075,538,047.05, 490,613,307,070.57 and 327,075,538,047.05

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Solution

The fourth proportional to 327,075,538,047.05, 490,613,307,070.57 and 327,075,538,047.05 is: 490,613,307,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,075,538,047.05 : 490,613,307,070.57 = 327,075,538,047.05 : x
  2. Step 2: Convert to fraction form
    327,075,538,047.05/490,613,307,070.57 = 327,075,538,047.05/x
  3. Step 3: Cross multiply
    327,075,538,047.05x = 490,613,307,070.57 × 327,075,538,047.05
  4. Step 4: Simplify right side
    327,075,538,047.05x = 160,467,611,383,149,247,856,640
  5. Step 5: Solve for x
    x = 160,467,611,383,149,247,856,640/327,075,538,047.05
  6. Step 6: Final answer
    x = 490,613,307,070.57

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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.