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Finding the Fourth Proportional to 377,008,182,014.40, 565,512,273,021.60 and 377,008,182,014.40

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Solution

The fourth proportional to 377,008,182,014.40, 565,512,273,021.60 and 377,008,182,014.40 is: 565,512,273,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008,182,014.40 : 565,512,273,021.60 = 377,008,182,014.40 : x
  2. Step 2: Convert to fraction form
    377,008,182,014.40/565,512,273,021.60 = 377,008,182,014.40/x
  3. Step 3: Cross multiply
    377,008,182,014.40x = 565,512,273,021.60 × 377,008,182,014.40
  4. Step 4: Simplify right side
    377,008,182,014.40x = 213,202,753,958,704,448,536,576
  5. Step 5: Solve for x
    x = 213,202,753,958,704,448,536,576/377,008,182,014.40
  6. Step 6: Final answer
    x = 565,512,273,021.60

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1.5x scale

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.