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Finding the Fourth Proportional to 50,519,943.15, 75,779,914.73 and 50,519,943.15

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Solution

The fourth proportional to 50,519,943.15, 75,779,914.73 and 50,519,943.15 is: 75,779,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,519,943.15 : 75,779,914.73 = 50,519,943.15 : x
  2. Step 2: Convert to fraction form
    50,519,943.15/75,779,914.73 = 50,519,943.15/x
  3. Step 3: Cross multiply
    50,519,943.15x = 75,779,914.73 × 50,519,943.15
  4. Step 4: Simplify right side
    50,519,943.15x = 3,828,396,983,818,847.50
  5. Step 5: Solve for x
    x = 3,828,396,983,818,847.50/50,519,943.15
  6. Step 6: Final answer
    x = 75,779,914.73

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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.