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Finding the Fourth Proportional to 199,327,706.10, 298,991,559.15 and 199,327,706.10

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Solution

The fourth proportional to 199,327,706.10, 298,991,559.15 and 199,327,706.10 is: 298,991,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,327,706.10 : 298,991,559.15 = 199,327,706.10 : x
  2. Step 2: Convert to fraction form
    199,327,706.10/298,991,559.15 = 199,327,706.10/x
  3. Step 3: Cross multiply
    199,327,706.10x = 298,991,559.15 × 199,327,706.10
  4. Step 4: Simplify right side
    199,327,706.10x = 59,597,301,628,631,960
  5. Step 5: Solve for x
    x = 59,597,301,628,631,960/199,327,706.10
  6. Step 6: Final answer
    x = 298,991,559.15

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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.