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Finding the Fourth Proportional to 194,114,707,460.70, 290,736,704,723.85 and 194,114,707,460.70

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Solution

The fourth proportional to 194,114,707,460.70, 290,736,704,723.85 and 194,114,707,460.70 is: 290,736,704,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,114,707,460.70 : 290,736,704,723.85 = 194,114,707,460.70 : x
  2. Step 2: Convert to fraction form
    194,114,707,460.70/290,736,704,723.85 = 194,114,707,460.70/x
  3. Step 3: Cross multiply
    194,114,707,460.70x = 290,736,704,723.85 × 194,114,707,460.70
  4. Step 4: Simplify right side
    194,114,707,460.70x = 56,436,270,385,558,053,715,968
  5. Step 5: Solve for x
    x = 56,436,270,385,558,053,715,968/194,114,707,460.70
  6. Step 6: Final answer
    x = 290,736,704,723.85

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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.