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Finding the Fourth Proportional to 290,410,768.80, 406,877,407.20 and 290,410,768.80

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Solution

The fourth proportional to 290,410,768.80, 406,877,407.20 and 290,410,768.80 is: 406,877,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,410,768.80 : 406,877,407.20 = 290,410,768.80 : x
  2. Step 2: Convert to fraction form
    290,410,768.80/406,877,407.20 = 290,410,768.80/x
  3. Step 3: Cross multiply
    290,410,768.80x = 406,877,407.20 × 290,410,768.80
  4. Step 4: Simplify right side
    290,410,768.80x = 118,161,580,632,302,656
  5. Step 5: Solve for x
    x = 118,161,580,632,302,656/290,410,768.80
  6. Step 6: Final answer
    x = 406,877,407.20

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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.