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Finding the Fourth Proportional to 50,252,426.05, 75,219,206.78 and 50,252,426.05

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Solution

The fourth proportional to 50,252,426.05, 75,219,206.78 and 50,252,426.05 is: 75,219,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,252,426.05 : 75,219,206.78 = 50,252,426.05 : x
  2. Step 2: Convert to fraction form
    50,252,426.05/75,219,206.78 = 50,252,426.05/x
  3. Step 3: Cross multiply
    50,252,426.05x = 75,219,206.78 × 50,252,426.05
  4. Step 4: Simplify right side
    50,252,426.05x = 3,779,947,626,000,346.50
  5. Step 5: Solve for x
    x = 3,779,947,626,000,346.50/50,252,426.05
  6. Step 6: Final answer
    x = 75,219,206.78

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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.