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Finding the Fourth Proportional to 12,104,830,966,021, 18,157,246,449,032 and 12,104,830,966,021

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Solution

The fourth proportional to 12,104,830,966,021, 18,157,246,449,032 and 12,104,830,966,021 is: 18,157,246,449,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104,830,966,021 : 18,157,246,449,032 = 12,104,830,966,021 : x
  2. Step 2: Convert to fraction form
    12,104,830,966,021/18,157,246,449,032 = 12,104,830,966,021/x
  3. Step 3: Cross multiply
    12,104,830,966,021x = 18,157,246,449,032 × 12,104,830,966,021
  4. Step 4: Simplify right side
    12,104,830,966,021x = 219,790,399,073,917,385,180,184,576
  5. Step 5: Solve for x
    x = 219,790,399,073,917,385,180,184,576/12,104,830,966,021
  6. Step 6: Final answer
    x = 18,157,246,449,032

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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.