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Finding the Fourth Proportional to 290,141,570.80, 435,212,356.20 and 256,129,346.80

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Solution

The fourth proportional to 290,141,570.80, 435,212,356.20 and 256,129,346.80 is: 384,194,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,141,570.80 : 435,212,356.20 = 256,129,346.80 : x
  2. Step 2: Convert to fraction form
    290,141,570.80/435,212,356.20 = 256,129,346.80/x
  3. Step 3: Cross multiply
    290,141,570.80x = 435,212,356.20 × 256,129,346.80
  4. Step 4: Simplify right side
    290,141,570.80x = 111,470,656,512,794,928
  5. Step 5: Solve for x
    x = 111,470,656,512,794,928/290,141,570.80
  6. Step 6: Final answer
    x = 384,194,020.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.