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Finding the Fourth Proportional to 1,961,803,368,000.40, 2,942,705,052,000.80 and 1,961,803,368,000.40

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Solution

The fourth proportional to 1,961,803,368,000.40, 2,942,705,052,000.80 and 1,961,803,368,000.40 is: 2,942,705,052,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,803,368,000.40 : 2,942,705,052,000.80 = 1,961,803,368,000.40 : x
  2. Step 2: Convert to fraction form
    1,961,803,368,000.40/2,942,705,052,000.80 = 1,961,803,368,000.40/x
  3. Step 3: Cross multiply
    1,961,803,368,000.40x = 2,942,705,052,000.80 × 1,961,803,368,000.40
  4. Step 4: Simplify right side
    1,961,803,368,000.40x = 5,773,008,682,046,960,869,310,464
  5. Step 5: Solve for x
    x = 5,773,008,682,046,960,869,310,464/1,961,803,368,000.40
  6. Step 6: Final answer
    x = 2,942,705,052,000.80

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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.