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Finding the Fourth Proportional to 601,517,831, 830,094,606.78 and 340,757,447

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Solution

The fourth proportional to 601,517,831, 830,094,606.78 and 340,757,447 is: 470,245,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,517,831 : 830,094,606.78 = 340,757,447 : x
  2. Step 2: Convert to fraction form
    601,517,831/830,094,606.78 = 340,757,447/x
  3. Step 3: Cross multiply
    601,517,831x = 830,094,606.78 × 340,757,447
  4. Step 4: Simplify right side
    601,517,831x = 282,860,918,974,821,696
  5. Step 5: Solve for x
    x = 282,860,918,974,821,696/601,517,831
  6. Step 6: Final answer
    x = 470,245,276.86

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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.