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Finding the Fourth Proportional to 1,330,255,872,052, 1,995,383,808,078 and 1,330,255,872,052

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Solution

The fourth proportional to 1,330,255,872,052, 1,995,383,808,078 and 1,330,255,872,052 is: 1,995,383,808,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,255,872,052 : 1,995,383,808,078 = 1,330,255,872,052 : x
  2. Step 2: Convert to fraction form
    1,330,255,872,052/1,995,383,808,078 = 1,330,255,872,052/x
  3. Step 3: Cross multiply
    1,330,255,872,052x = 1,995,383,808,078 × 1,330,255,872,052
  4. Step 4: Simplify right side
    1,330,255,872,052x = 2,654,371,027,693,240,645,058,560
  5. Step 5: Solve for x
    x = 2,654,371,027,693,240,645,058,560/1,330,255,872,052
  6. Step 6: Final answer
    x = 1,995,383,808,078

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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.