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Finding the Fourth Proportional to 72,669,700,831.80, 109,004,551,247.70 and 72,669,700,831.80

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Solution

The fourth proportional to 72,669,700,831.80, 109,004,551,247.70 and 72,669,700,831.80 is: 109,004,551,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,669,700,831.80 : 109,004,551,247.70 = 72,669,700,831.80 : x
  2. Step 2: Convert to fraction form
    72,669,700,831.80/109,004,551,247.70 = 72,669,700,831.80/x
  3. Step 3: Cross multiply
    72,669,700,831.80x = 109,004,551,247.70 × 72,669,700,831.80
  4. Step 4: Simplify right side
    72,669,700,831.80x = 7,921,328,128,474,970,324,992
  5. Step 5: Solve for x
    x = 7,921,328,128,474,970,324,992/72,669,700,831.80
  6. Step 6: Final answer
    x = 109,004,551,247.70

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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.