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Finding the Fourth Proportional to 299,355,852.80, 419,904,409.60 and 299,355,852.80

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Solution

The fourth proportional to 299,355,852.80, 419,904,409.60 and 299,355,852.80 is: 419,904,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,355,852.80 : 419,904,409.60 = 299,355,852.80 : x
  2. Step 2: Convert to fraction form
    299,355,852.80/419,904,409.60 = 299,355,852.80/x
  3. Step 3: Cross multiply
    299,355,852.80x = 419,904,409.60 × 299,355,852.80
  4. Step 4: Simplify right side
    299,355,852.80x = 125,700,842,630,288,512
  5. Step 5: Solve for x
    x = 125,700,842,630,288,512/299,355,852.80
  6. Step 6: Final answer
    x = 419,904,409.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.