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Finding the Fourth Proportional to 970,573,668, 1,455,860,502 and 324,341,412

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Solution

The fourth proportional to 970,573,668, 1,455,860,502 and 324,341,412 is: 486,512,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,573,668 : 1,455,860,502 = 324,341,412 : x
  2. Step 2: Convert to fraction form
    970,573,668/1,455,860,502 = 324,341,412/x
  3. Step 3: Cross multiply
    970,573,668x = 1,455,860,502 × 324,341,412
  4. Step 4: Simplify right side
    970,573,668x = 472,195,850,893,708,800
  5. Step 5: Solve for x
    x = 472,195,850,893,708,800/970,573,668
  6. Step 6: Final answer
    x = 486,512,118

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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.