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Finding the Fourth Proportional to 299,396,953.60, 449,095,430.40 and 196,084,823.20

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Solution

The fourth proportional to 299,396,953.60, 449,095,430.40 and 196,084,823.20 is: 294,127,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,396,953.60 : 449,095,430.40 = 196,084,823.20 : x
  2. Step 2: Convert to fraction form
    299,396,953.60/449,095,430.40 = 196,084,823.20/x
  3. Step 3: Cross multiply
    299,396,953.60x = 449,095,430.40 × 196,084,823.20
  4. Step 4: Simplify right side
    299,396,953.60x = 88,060,798,069,911,888
  5. Step 5: Solve for x
    x = 88,060,798,069,911,888/299,396,953.60
  6. Step 6: Final answer
    x = 294,127,234.80

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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.