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Finding the Fourth Proportional to 432,974,770.65, 597,591,987.03 and 256,860,520.65

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Solution

The fourth proportional to 432,974,770.65, 597,591,987.03 and 256,860,520.65 is: 354,519,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,974,770.65 : 597,591,987.03 = 256,860,520.65 : x
  2. Step 2: Convert to fraction form
    432,974,770.65/597,591,987.03 = 256,860,520.65/x
  3. Step 3: Cross multiply
    432,974,770.65x = 597,591,987.03 × 256,860,520.65
  4. Step 4: Simplify right side
    432,974,770.65x = 153,497,788,924,793,856
  5. Step 5: Solve for x
    x = 153,497,788,924,793,856/432,974,770.65
  6. Step 6: Final answer
    x = 354,519,014.34

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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.