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Finding the Fourth Proportional to 416,179,685.60, 624,080,571.60 and 157,308,869.60

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Solution

The fourth proportional to 416,179,685.60, 624,080,571.60 and 157,308,869.60 is: 235,891,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,179,685.60 : 624,080,571.60 = 157,308,869.60 : x
  2. Step 2: Convert to fraction form
    416,179,685.60/624,080,571.60 = 157,308,869.60/x
  3. Step 3: Cross multiply
    416,179,685.60x = 624,080,571.60 × 157,308,869.60
  4. Step 4: Simplify right side
    416,179,685.60x = 98,173,409,257,717,856
  5. Step 5: Solve for x
    x = 98,173,409,257,717,856/416,179,685.60
  6. Step 6: Final answer
    x = 235,891,881.93

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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.