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Finding the Fourth Proportional to 471,480,616.80, 707,539,789.80 and 264,218,626.80

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Solution

The fourth proportional to 471,480,616.80, 707,539,789.80 and 264,218,626.80 is: 396,506,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,480,616.80 : 707,539,789.80 = 264,218,626.80 : x
  2. Step 2: Convert to fraction form
    471,480,616.80/707,539,789.80 = 264,218,626.80/x
  3. Step 3: Cross multiply
    471,480,616.80x = 707,539,789.80 × 264,218,626.80
  4. Step 4: Simplify right side
    471,480,616.80x = 186,945,191,667,316,640
  5. Step 5: Solve for x
    x = 186,945,191,667,316,640/471,480,616.80
  6. Step 6: Final answer
    x = 396,506,632.52

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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.