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Finding the Fourth Proportional to 290,448,032.20, 407,647,611.80 and 290,448,032.20

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Solution

The fourth proportional to 290,448,032.20, 407,647,611.80 and 290,448,032.20 is: 407,647,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,448,032.20 : 407,647,611.80 = 290,448,032.20 : x
  2. Step 2: Convert to fraction form
    290,448,032.20/407,647,611.80 = 290,448,032.20/x
  3. Step 3: Cross multiply
    290,448,032.20x = 407,647,611.80 × 290,448,032.20
  4. Step 4: Simplify right side
    290,448,032.20x = 118,400,446,678,339,504
  5. Step 5: Solve for x
    x = 118,400,446,678,339,504/290,448,032.20
  6. Step 6: Final answer
    x = 407,647,611.80

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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.