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Finding the Fourth Proportional to 12,376,465,194.15, 18,564,697,791.23 and 12,376,465,194.15

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Solution

The fourth proportional to 12,376,465,194.15, 18,564,697,791.23 and 12,376,465,194.15 is: 18,564,697,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376,465,194.15 : 18,564,697,791.23 = 12,376,465,194.15 : x
  2. Step 2: Convert to fraction form
    12,376,465,194.15/18,564,697,791.23 = 12,376,465,194.15/x
  3. Step 3: Cross multiply
    12,376,465,194.15x = 18,564,697,791.23 × 12,376,465,194.15
  4. Step 4: Simplify right side
    12,376,465,194.15x = 229,765,336,053,009,580,032
  5. Step 5: Solve for x
    x = 229,765,336,053,009,580,032/12,376,465,194.15
  6. Step 6: Final answer
    x = 18,564,697,791.23

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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.