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Finding the Fourth Proportional to 167,075,665,204.15, 250,613,497,806.23 and 167,075,665,204.15

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Solution

The fourth proportional to 167,075,665,204.15, 250,613,497,806.23 and 167,075,665,204.15 is: 250,613,497,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,075,665,204.15 : 250,613,497,806.23 = 167,075,665,204.15 : x
  2. Step 2: Convert to fraction form
    167,075,665,204.15/250,613,497,806.23 = 167,075,665,204.15/x
  3. Step 3: Cross multiply
    167,075,665,204.15x = 250,613,497,806.23 × 167,075,665,204.15
  4. Step 4: Simplify right side
    167,075,665,204.15x = 41,871,416,855,114,660,446,208
  5. Step 5: Solve for x
    x = 41,871,416,855,114,660,446,208/167,075,665,204.15
  6. Step 6: Final answer
    x = 250,613,497,806.23

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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.