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Finding the Fourth Proportional to 601,193,482.74, 901,814,039.37 and 285,983,797.14

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Solution

The fourth proportional to 601,193,482.74, 901,814,039.37 and 285,983,797.14 is: 428,987,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,193,482.74 : 901,814,039.37 = 285,983,797.14 : x
  2. Step 2: Convert to fraction form
    601,193,482.74/901,814,039.37 = 285,983,797.14/x
  3. Step 3: Cross multiply
    601,193,482.74x = 901,814,039.37 × 285,983,797.14
  4. Step 4: Simplify right side
    601,193,482.74x = 257,904,203,293,194,048
  5. Step 5: Solve for x
    x = 257,904,203,293,194,048/601,193,482.74
  6. Step 6: Final answer
    x = 428,987,024.47

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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.