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Finding the Fourth Proportional to 599,987,503.80, 828,014,903.82 and 335,653,728.12

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Solution

The fourth proportional to 599,987,503.80, 828,014,903.82 and 335,653,728.12 is: 463,220,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,987,503.80 : 828,014,903.82 = 335,653,728.12 : x
  2. Step 2: Convert to fraction form
    599,987,503.80/828,014,903.82 = 335,653,728.12/x
  3. Step 3: Cross multiply
    599,987,503.80x = 828,014,903.82 × 335,653,728.12
  4. Step 4: Simplify right side
    599,987,503.80x = 277,926,289,406,106,240
  5. Step 5: Solve for x
    x = 277,926,289,406,106,240/599,987,503.80
  6. Step 6: Final answer
    x = 463,220,129.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.