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Finding the Fourth Proportional to 663,764,102.10, 993,732,965.55 and 663,764,102.10

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Solution

The fourth proportional to 663,764,102.10, 993,732,965.55 and 663,764,102.10 is: 993,732,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,764,102.10 : 993,732,965.55 = 663,764,102.10 : x
  2. Step 2: Convert to fraction form
    663,764,102.10/993,732,965.55 = 663,764,102.10/x
  3. Step 3: Cross multiply
    663,764,102.10x = 993,732,965.55 × 663,764,102.10
  4. Step 4: Simplify right side
    663,764,102.10x = 659,604,269,605,465,984
  5. Step 5: Solve for x
    x = 659,604,269,605,465,984/663,764,102.10
  6. Step 6: Final answer
    x = 993,732,965.55

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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.