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Finding the Fourth Proportional to 285,822,984,562.80, 428,734,476,844.20 and 285,822,984,562.80

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Solution

The fourth proportional to 285,822,984,562.80, 428,734,476,844.20 and 285,822,984,562.80 is: 428,734,476,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,822,984,562.80 : 428,734,476,844.20 = 285,822,984,562.80 : x
  2. Step 2: Convert to fraction form
    285,822,984,562.80/428,734,476,844.20 = 285,822,984,562.80/x
  3. Step 3: Cross multiply
    285,822,984,562.80x = 428,734,476,844.20 × 285,822,984,562.80
  4. Step 4: Simplify right side
    285,822,984,562.80x = 122,542,167,756,579,905,994,752
  5. Step 5: Solve for x
    x = 122,542,167,756,579,905,994,752/285,822,984,562.80
  6. Step 6: Final answer
    x = 428,734,476,844.20

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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.