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Finding the Fourth Proportional to 12,824,571,831.60, 19,236,857,747.40 and 12,824,571,831.60

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Solution

The fourth proportional to 12,824,571,831.60, 19,236,857,747.40 and 12,824,571,831.60 is: 19,236,857,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824,571,831.60 : 19,236,857,747.40 = 12,824,571,831.60 : x
  2. Step 2: Convert to fraction form
    12,824,571,831.60/19,236,857,747.40 = 12,824,571,831.60/x
  3. Step 3: Cross multiply
    12,824,571,831.60x = 19,236,857,747.40 × 12,824,571,831.60
  4. Step 4: Simplify right side
    12,824,571,831.60x = 246,704,463,995,802,288,128
  5. Step 5: Solve for x
    x = 246,704,463,995,802,288,128/12,824,571,831.60
  6. Step 6: Final answer
    x = 19,236,857,747.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.