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Finding the Fourth Proportional to 65,324,421,000.15, 97,986,631,500.23 and 65,324,421,000.15

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Solution

The fourth proportional to 65,324,421,000.15, 97,986,631,500.23 and 65,324,421,000.15 is: 97,986,631,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324,421,000.15 : 97,986,631,500.23 = 65,324,421,000.15 : x
  2. Step 2: Convert to fraction form
    65,324,421,000.15/97,986,631,500.23 = 65,324,421,000.15/x
  3. Step 3: Cross multiply
    65,324,421,000.15x = 97,986,631,500.23 × 65,324,421,000.15
  4. Step 4: Simplify right side
    65,324,421,000.15x = 6,400,919,968,507,258,470,400
  5. Step 5: Solve for x
    x = 6,400,919,968,507,258,470,400/65,324,421,000.15
  6. Step 6: Final answer
    x = 97,986,631,500.23

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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.