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Finding the Fourth Proportional to 446,063,141.80, 669,094,712.70 and 396,320,264.20

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Solution

The fourth proportional to 446,063,141.80, 669,094,712.70 and 396,320,264.20 is: 594,480,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,063,141.80 : 669,094,712.70 = 396,320,264.20 : x
  2. Step 2: Convert to fraction form
    446,063,141.80/669,094,712.70 = 396,320,264.20/x
  3. Step 3: Cross multiply
    446,063,141.80x = 669,094,712.70 × 396,320,264.20
  4. Step 4: Simplify right side
    446,063,141.80x = 265,175,793,312,087,104
  5. Step 5: Solve for x
    x = 265,175,793,312,087,104/446,063,141.80
  6. Step 6: Final answer
    x = 594,480,396.30

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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.