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Finding the Fourth Proportional to 16,088,295,168,027, 24,132,442,752,040 and 16,088,295,168,027

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Solution

The fourth proportional to 16,088,295,168,027, 24,132,442,752,040 and 16,088,295,168,027 is: 24,132,442,752,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088,295,168,027 : 24,132,442,752,040 = 16,088,295,168,027 : x
  2. Step 2: Convert to fraction form
    16,088,295,168,027/24,132,442,752,040 = 16,088,295,168,027/x
  3. Step 3: Cross multiply
    16,088,295,168,027x = 24,132,442,752,040 × 16,088,295,168,027
  4. Step 4: Simplify right side
    16,088,295,168,027x = 388,249,862,120,333,321,986,637,824
  5. Step 5: Solve for x
    x = 388,249,862,120,333,321,986,637,824/16,088,295,168,027
  6. Step 6: Final answer
    x = 24,132,442,752,040

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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.