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Finding the Fourth Proportional to 733,143,699,283.20, 1,099,715,548,924.80 and 733,143,699,283.20

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Solution

The fourth proportional to 733,143,699,283.20, 1,099,715,548,924.80 and 733,143,699,283.20 is: 1,099,715,548,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,143,699,283.20 : 1,099,715,548,924.80 = 733,143,699,283.20 : x
  2. Step 2: Convert to fraction form
    733,143,699,283.20/1,099,715,548,924.80 = 733,143,699,283.20/x
  3. Step 3: Cross multiply
    733,143,699,283.20x = 1,099,715,548,924.80 × 733,143,699,283.20
  4. Step 4: Simplify right side
    733,143,699,283.20x = 806,249,525,697,982,800,855,040
  5. Step 5: Solve for x
    x = 806,249,525,697,982,800,855,040/733,143,699,283.20
  6. Step 6: Final answer
    x = 1,099,715,548,924.80

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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.