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Finding the Fourth Proportional to 290,304,033.80, 435,456,050.70 and 256,291,809.80

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Solution

The fourth proportional to 290,304,033.80, 435,456,050.70 and 256,291,809.80 is: 384,437,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,033.80 : 435,456,050.70 = 256,291,809.80 : x
  2. Step 2: Convert to fraction form
    290,304,033.80/435,456,050.70 = 256,291,809.80/x
  3. Step 3: Cross multiply
    290,304,033.80x = 435,456,050.70 × 256,291,809.80
  4. Step 4: Simplify right side
    290,304,033.80x = 111,603,819,322,263,552
  5. Step 5: Solve for x
    x = 111,603,819,322,263,552/290,304,033.80
  6. Step 6: Final answer
    x = 384,437,714.70

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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.