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Finding the Fourth Proportional to 577,470,704.40, 866,206,056.60 and 448,476,195.60

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Solution

The fourth proportional to 577,470,704.40, 866,206,056.60 and 448,476,195.60 is: 672,714,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,470,704.40 : 866,206,056.60 = 448,476,195.60 : x
  2. Step 2: Convert to fraction form
    577,470,704.40/866,206,056.60 = 448,476,195.60/x
  3. Step 3: Cross multiply
    577,470,704.40x = 866,206,056.60 × 448,476,195.60
  4. Step 4: Simplify right side
    577,470,704.40x = 388,472,796,869,646,272
  5. Step 5: Solve for x
    x = 388,472,796,869,646,272/577,470,704.40
  6. Step 6: Final answer
    x = 672,714,293.40

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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.