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Finding the Fourth Proportional to 702,469,786.65, 969,407,548.26 and 384,937,775.16

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Solution

The fourth proportional to 702,469,786.65, 969,407,548.26 and 384,937,775.16 is: 531,213,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,469,786.65 : 969,407,548.26 = 384,937,775.16 : x
  2. Step 2: Convert to fraction form
    702,469,786.65/969,407,548.26 = 384,937,775.16/x
  3. Step 3: Cross multiply
    702,469,786.65x = 969,407,548.26 × 384,937,775.16
  4. Step 4: Simplify right side
    702,469,786.65x = 373,161,584,850,514,752
  5. Step 5: Solve for x
    x = 373,161,584,850,514,752/702,469,786.65
  6. Step 6: Final answer
    x = 531,213,714.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.