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Finding the Fourth Proportional to 533,339,166.30, 801,709,360.65 and 502,728,164.70

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Solution

The fourth proportional to 533,339,166.30, 801,709,360.65 and 502,728,164.70 is: 755,695,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,339,166.30 : 801,709,360.65 = 502,728,164.70 : x
  2. Step 2: Convert to fraction form
    533,339,166.30/801,709,360.65 = 502,728,164.70/x
  3. Step 3: Cross multiply
    533,339,166.30x = 801,709,360.65 × 502,728,164.70
  4. Step 4: Simplify right side
    533,339,166.30x = 403,041,875,502,384,896
  5. Step 5: Solve for x
    x = 403,041,875,502,384,896/533,339,166.30
  6. Step 6: Final answer
    x = 755,695,251.67

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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.