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Finding the Fourth Proportional to 213,871,105,719.40, 320,806,658,579.10 and 213,871,105,719.40

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Solution

The fourth proportional to 213,871,105,719.40, 320,806,658,579.10 and 213,871,105,719.40 is: 320,806,658,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,871,105,719.40 : 320,806,658,579.10 = 213,871,105,719.40 : x
  2. Step 2: Convert to fraction form
    213,871,105,719.40/320,806,658,579.10 = 213,871,105,719.40/x
  3. Step 3: Cross multiply
    213,871,105,719.40x = 320,806,658,579.10 × 213,871,105,719.40
  4. Step 4: Simplify right side
    213,871,105,719.40x = 68,611,274,792,458,147,332,096
  5. Step 5: Solve for x
    x = 68,611,274,792,458,147,332,096/213,871,105,719.40
  6. Step 6: Final answer
    x = 320,806,658,579.10

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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.