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Finding the Fourth Proportional to 797,183,999.10, 1,195,775,998.65 and 797,183,999.10

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Solution

The fourth proportional to 797,183,999.10, 1,195,775,998.65 and 797,183,999.10 is: 1,195,775,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,183,999.10 : 1,195,775,998.65 = 797,183,999.10 : x
  2. Step 2: Convert to fraction form
    797,183,999.10/1,195,775,998.65 = 797,183,999.10/x
  3. Step 3: Cross multiply
    797,183,999.10x = 1,195,775,998.65 × 797,183,999.10
  4. Step 4: Simplify right side
    797,183,999.10x = 953,253,492,631,603,328
  5. Step 5: Solve for x
    x = 953,253,492,631,603,328/797,183,999.10
  6. Step 6: Final answer
    x = 1,195,775,998.65

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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.