Home / 410,100,349,010.24-615,327,302,048.16-221,408,778,226.88

Finding the Fourth Proportional to 410,100,349,010.24, 615,327,302,048.16 and 221,408,778,226.88

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Solution

The fourth proportional to 410,100,349,010.24, 615,327,302,048.16 and 221,408,778,226.88 is: 332,208,608,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,100,349,010.24 : 615,327,302,048.16 = 221,408,778,226.88 : x
  2. Step 2: Convert to fraction form
    410,100,349,010.24/615,327,302,048.16 = 221,408,778,226.88/x
  3. Step 3: Cross multiply
    410,100,349,010.24x = 615,327,302,048.16 × 221,408,778,226.88
  4. Step 4: Simplify right side
    410,100,349,010.24x = 136,238,866,156,125,476,093,952
  5. Step 5: Solve for x
    x = 136,238,866,156,125,476,093,952/410,100,349,010.24
  6. Step 6: Final answer
    x = 332,208,608,173.42

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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.