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Finding the Fourth Proportional to 768,365,469.14, 1,152,375,706.76 and 353,443,794.12

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Solution

The fourth proportional to 768,365,469.14, 1,152,375,706.76 and 353,443,794.12 is: 530,086,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,365,469.14 : 1,152,375,706.76 = 353,443,794.12 : x
  2. Step 2: Convert to fraction form
    768,365,469.14/1,152,375,706.76 = 353,443,794.12/x
  3. Step 3: Cross multiply
    768,365,469.14x = 1,152,375,706.76 × 353,443,794.12
  4. Step 4: Simplify right side
    768,365,469.14x = 407,300,042,047,203,776
  5. Step 5: Solve for x
    x = 407,300,042,047,203,776/768,365,469.14
  6. Step 6: Final answer
    x = 530,086,343.55

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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.