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Finding the Fourth Proportional to 290,400,809.80, 406,863,464.60 and 290,400,809.80

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Solution

The fourth proportional to 290,400,809.80, 406,863,464.60 and 290,400,809.80 is: 406,863,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,400,809.80 : 406,863,464.60 = 290,400,809.80 : x
  2. Step 2: Convert to fraction form
    290,400,809.80/406,863,464.60 = 290,400,809.80/x
  3. Step 3: Cross multiply
    290,400,809.80x = 406,863,464.60 × 290,400,809.80
  4. Step 4: Simplify right side
    290,400,809.80x = 118,153,479,597,873,648
  5. Step 5: Solve for x
    x = 118,153,479,597,873,648/290,400,809.80
  6. Step 6: Final answer
    x = 406,863,464.60

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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.