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Finding the Fourth Proportional to 13,593,132,288,894, 20,389,698,433,340 and 13,593,132,288,894

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Solution

The fourth proportional to 13,593,132,288,894, 20,389,698,433,340 and 13,593,132,288,894 is: 20,389,698,433,340

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593,132,288,894 : 20,389,698,433,340 = 13,593,132,288,894 : x
  2. Step 2: Convert to fraction form
    13,593,132,288,894/20,389,698,433,340 = 13,593,132,288,894/x
  3. Step 3: Cross multiply
    13,593,132,288,894x = 20,389,698,433,340 × 13,593,132,288,894
  4. Step 4: Simplify right side
    13,593,132,288,894x = 277,159,868,135,045,350,859,735,040
  5. Step 5: Solve for x
    x = 277,159,868,135,045,350,859,735,040/13,593,132,288,894
  6. Step 6: Final answer
    x = 20,389,698,433,340

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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.