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Finding the Fourth Proportional to 442,959,809.90, 664,439,714.85 and 212,873,413.10

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Solution

The fourth proportional to 442,959,809.90, 664,439,714.85 and 212,873,413.10 is: 319,310,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,959,809.90 : 664,439,714.85 = 212,873,413.10 : x
  2. Step 2: Convert to fraction form
    442,959,809.90/664,439,714.85 = 212,873,413.10/x
  3. Step 3: Cross multiply
    442,959,809.90x = 664,439,714.85 × 212,873,413.10
  4. Step 4: Simplify right side
    442,959,809.90x = 141,441,549,899,310,256
  5. Step 5: Solve for x
    x = 141,441,549,899,310,256/442,959,809.90
  6. Step 6: Final answer
    x = 319,310,119.65

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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.