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Finding the Fourth Proportional to 459,907,681.80, 689,861,522.70 and 414,558,049.80

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Solution

The fourth proportional to 459,907,681.80, 689,861,522.70 and 414,558,049.80 is: 621,837,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,907,681.80 : 689,861,522.70 = 414,558,049.80 : x
  2. Step 2: Convert to fraction form
    459,907,681.80/689,861,522.70 = 414,558,049.80/x
  3. Step 3: Cross multiply
    459,907,681.80x = 689,861,522.70 × 414,558,049.80
  4. Step 4: Simplify right side
    459,907,681.80x = 285,987,647,482,570,464
  5. Step 5: Solve for x
    x = 285,987,647,482,570,464/459,907,681.80
  6. Step 6: Final answer
    x = 621,837,074.70

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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.