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Finding the Fourth Proportional to 273,235,742.61, 409,757,715.83 and 76,446,275.01

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Solution

The fourth proportional to 273,235,742.61, 409,757,715.83 and 76,446,275.01 is: 114,642,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235,742.61 : 409,757,715.83 = 76,446,275.01 : x
  2. Step 2: Convert to fraction form
    273,235,742.61/409,757,715.83 = 76,446,275.01/x
  3. Step 3: Cross multiply
    273,235,742.61x = 409,757,715.83 × 76,446,275.01
  4. Step 4: Simplify right side
    273,235,742.61x = 31,324,451,031,427,380
  5. Step 5: Solve for x
    x = 31,324,451,031,427,380/273,235,742.61
  6. Step 6: Final answer
    x = 114,642,582.01

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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.