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Finding the Fourth Proportional to 290,304,049.80, 435,456,074.70 and 256,291,825.80

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Solution

The fourth proportional to 290,304,049.80, 435,456,074.70 and 256,291,825.80 is: 384,437,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,049.80 : 435,456,074.70 = 256,291,825.80 : x
  2. Step 2: Convert to fraction form
    290,304,049.80/435,456,074.70 = 256,291,825.80/x
  3. Step 3: Cross multiply
    290,304,049.80x = 435,456,074.70 × 256,291,825.80
  4. Step 4: Simplify right side
    290,304,049.80x = 111,603,832,440,564,192
  5. Step 5: Solve for x
    x = 111,603,832,440,564,192/290,304,049.80
  6. Step 6: Final answer
    x = 384,437,738.70

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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.