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Finding the Fourth Proportional to 733,613,514.10, 1,100,127,978.60 and 242,190,021.40

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Solution

The fourth proportional to 733,613,514.10, 1,100,127,978.60 and 242,190,021.40 is: 363,188,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,613,514.10 : 1,100,127,978.60 = 242,190,021.40 : x
  2. Step 2: Convert to fraction form
    733,613,514.10/1,100,127,978.60 = 242,190,021.40/x
  3. Step 3: Cross multiply
    733,613,514.10x = 1,100,127,978.60 × 242,190,021.40
  4. Step 4: Simplify right side
    733,613,514.10x = 266,440,018,679,872,736
  5. Step 5: Solve for x
    x = 266,440,018,679,872,736/733,613,514.10
  6. Step 6: Final answer
    x = 363,188,536.69

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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.