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Finding the Fourth Proportional to 1,121,688,622.15, 1,682,532,933.23 and 1,121,688,622.15

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Solution

The fourth proportional to 1,121,688,622.15, 1,682,532,933.23 and 1,121,688,622.15 is: 1,682,532,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,688,622.15 : 1,682,532,933.23 = 1,121,688,622.15 : x
  2. Step 2: Convert to fraction form
    1,121,688,622.15/1,682,532,933.23 = 1,121,688,622.15/x
  3. Step 3: Cross multiply
    1,121,688,622.15x = 1,682,532,933.23 × 1,121,688,622.15
  4. Step 4: Simplify right side
    1,121,688,622.15x = 1,887,278,047,591,148,288
  5. Step 5: Solve for x
    x = 1,887,278,047,591,148,288/1,121,688,622.15
  6. Step 6: Final answer
    x = 1,682,532,933.23

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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.