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Finding the Fourth Proportional to 667,567,173, 1,001,494,048.50 and 224,953,578.84

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Solution

The fourth proportional to 667,567,173, 1,001,494,048.50 and 224,953,578.84 is: 337,478,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,567,173 : 1,001,494,048.50 = 224,953,578.84 : x
  2. Step 2: Convert to fraction form
    667,567,173/1,001,494,048.50 = 224,953,578.84/x
  3. Step 3: Cross multiply
    667,567,173x = 1,001,494,048.50 × 224,953,578.84
  4. Step 4: Simplify right side
    667,567,173x = 225,289,670,397,035,552
  5. Step 5: Solve for x
    x = 225,289,670,397,035,552/667,567,173
  6. Step 6: Final answer
    x = 337,478,653.10

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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.