Home / 280,157,107.40-420,298,646.70-165,082,416.20

Finding the Fourth Proportional to 280,157,107.40, 420,298,646.70 and 165,082,416.20

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Solution

The fourth proportional to 280,157,107.40, 420,298,646.70 and 165,082,416.20 is: 247,660,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,157,107.40 : 420,298,646.70 = 165,082,416.20 : x
  2. Step 2: Convert to fraction form
    280,157,107.40/420,298,646.70 = 165,082,416.20/x
  3. Step 3: Cross multiply
    280,157,107.40x = 420,298,646.70 × 165,082,416.20
  4. Step 4: Simplify right side
    280,157,107.40x = 69,383,916,122,826,152
  5. Step 5: Solve for x
    x = 69,383,916,122,826,152/280,157,107.40
  6. Step 6: Final answer
    x = 247,660,738.53

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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.