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Finding the Fourth Proportional to 970,573,666, 1,455,860,499 and 324,341,410

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Solution

The fourth proportional to 970,573,666, 1,455,860,499 and 324,341,410 is: 486,512,115

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,573,666 : 1,455,860,499 = 324,341,410 : x
  2. Step 2: Convert to fraction form
    970,573,666/1,455,860,499 = 324,341,410/x
  3. Step 3: Cross multiply
    970,573,666x = 1,455,860,499 × 324,341,410
  4. Step 4: Simplify right side
    970,573,666x = 472,195,847,008,963,584
  5. Step 5: Solve for x
    x = 472,195,847,008,963,584/970,573,666
  6. Step 6: Final answer
    x = 486,512,115

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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.