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Finding the Fourth Proportional to 196,991,999.80, 295,487,999.70 and 53,384,831.80

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Solution

The fourth proportional to 196,991,999.80, 295,487,999.70 and 53,384,831.80 is: 80,077,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,991,999.80 : 295,487,999.70 = 53,384,831.80 : x
  2. Step 2: Convert to fraction form
    196,991,999.80/295,487,999.70 = 53,384,831.80/x
  3. Step 3: Cross multiply
    196,991,999.80x = 295,487,999.70 × 53,384,831.80
  4. Step 4: Simplify right side
    196,991,999.80x = 15,774,577,162,902,948
  5. Step 5: Solve for x
    x = 15,774,577,162,902,948/196,991,999.80
  6. Step 6: Final answer
    x = 80,077,247.70

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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.