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Finding the Fourth Proportional to 272,879,443.80, 409,319,165.70 and 100,320,551.10

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Solution

The fourth proportional to 272,879,443.80, 409,319,165.70 and 100,320,551.10 is: 150,480,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,879,443.80 : 409,319,165.70 = 100,320,551.10 : x
  2. Step 2: Convert to fraction form
    272,879,443.80/409,319,165.70 = 100,320,551.10/x
  3. Step 3: Cross multiply
    272,879,443.80x = 409,319,165.70 × 100,320,551.10
  4. Step 4: Simplify right side
    272,879,443.80x = 41,063,124,278,816,216
  5. Step 5: Solve for x
    x = 41,063,124,278,816,216/272,879,443.80
  6. Step 6: Final answer
    x = 150,480,826.65

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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.