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Finding the Fourth Proportional to 436,609,762.40, 654,914,643.60 and 264,422,878.40

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Solution

The fourth proportional to 436,609,762.40, 654,914,643.60 and 264,422,878.40 is: 396,634,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,609,762.40 : 654,914,643.60 = 264,422,878.40 : x
  2. Step 2: Convert to fraction form
    436,609,762.40/654,914,643.60 = 264,422,878.40/x
  3. Step 3: Cross multiply
    436,609,762.40x = 654,914,643.60 × 264,422,878.40
  4. Step 4: Simplify right side
    436,609,762.40x = 173,174,415,167,022,144
  5. Step 5: Solve for x
    x = 173,174,415,167,022,144/436,609,762.40
  6. Step 6: Final answer
    x = 396,634,317.60

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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.