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Finding the Fourth Proportional to 490,374,437,465.40, 735,561,656,198.05 and 490,374,437,465.40

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Solution

The fourth proportional to 490,374,437,465.40, 735,561,656,198.05 and 490,374,437,465.40 is: 735,561,656,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,374,437,465.40 : 735,561,656,198.05 = 490,374,437,465.40 : x
  2. Step 2: Convert to fraction form
    490,374,437,465.40/735,561,656,198.05 = 490,374,437,465.40/x
  3. Step 3: Cross multiply
    490,374,437,465.40x = 735,561,656,198.05 × 490,374,437,465.40
  4. Step 4: Simplify right side
    490,374,437,465.40x = 360,700,633,379,236,732,731,392
  5. Step 5: Solve for x
    x = 360,700,633,379,236,732,731,392/490,374,437,465.40
  6. Step 6: Final answer
    x = 735,561,656,198.05

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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.