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Finding the Fourth Proportional to 364,863,770,999.78, 547,295,656,499.67 and 364,863,770,999.78

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Solution

The fourth proportional to 364,863,770,999.78, 547,295,656,499.67 and 364,863,770,999.78 is: 547,295,656,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,863,770,999.78 : 547,295,656,499.67 = 364,863,770,999.78 : x
  2. Step 2: Convert to fraction form
    364,863,770,999.78/547,295,656,499.67 = 364,863,770,999.78/x
  3. Step 3: Cross multiply
    364,863,770,999.78x = 547,295,656,499.67 × 364,863,770,999.78
  4. Step 4: Simplify right side
    364,863,770,999.78x = 199,688,357,082,269,864,689,664
  5. Step 5: Solve for x
    x = 199,688,357,082,269,864,689,664/364,863,770,999.78
  6. Step 6: Final answer
    x = 547,295,656,499.67

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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.