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Finding the Fourth Proportional to 419,906,101.60, 629,859,152.40 and 290,659,650.40

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Solution

The fourth proportional to 419,906,101.60, 629,859,152.40 and 290,659,650.40 is: 435,989,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,101.60 : 629,859,152.40 = 290,659,650.40 : x
  2. Step 2: Convert to fraction form
    419,906,101.60/629,859,152.40 = 290,659,650.40/x
  3. Step 3: Cross multiply
    419,906,101.60x = 629,859,152.40 × 290,659,650.40
  4. Step 4: Simplify right side
    419,906,101.60x = 183,074,641,037,824,288
  5. Step 5: Solve for x
    x = 183,074,641,037,824,288/419,906,101.60
  6. Step 6: Final answer
    x = 435,989,475.60

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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.