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Finding the Fourth Proportional to 196,991,999.40, 295,487,999.10 and 53,384,831.40

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Solution

The fourth proportional to 196,991,999.40, 295,487,999.10 and 53,384,831.40 is: 80,077,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,991,999.40 : 295,487,999.10 = 53,384,831.40 : x
  2. Step 2: Convert to fraction form
    196,991,999.40/295,487,999.10 = 53,384,831.40/x
  3. Step 3: Cross multiply
    196,991,999.40x = 295,487,999.10 × 53,384,831.40
  4. Step 4: Simplify right side
    196,991,999.40x = 15,774,577,012,676,852
  5. Step 5: Solve for x
    x = 15,774,577,012,676,852/196,991,999.40
  6. Step 6: Final answer
    x = 80,077,247.10

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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.