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Finding the Fourth Proportional to 663,764,505.60, 993,733,570.80 and 663,764,505.60

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Solution

The fourth proportional to 663,764,505.60, 993,733,570.80 and 663,764,505.60 is: 993,733,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,764,505.60 : 993,733,570.80 = 663,764,505.60 : x
  2. Step 2: Convert to fraction form
    663,764,505.60/993,733,570.80 = 663,764,505.60/x
  3. Step 3: Cross multiply
    663,764,505.60x = 993,733,570.80 × 663,764,505.60
  4. Step 4: Simplify right side
    663,764,505.60x = 659,605,072,320,184,576
  5. Step 5: Solve for x
    x = 659,605,072,320,184,576/663,764,505.60
  6. Step 6: Final answer
    x = 993,733,570.80

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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.