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Finding the Fourth Proportional to 74,503,974,680.80, 111,755,962,021.20 and 74,503,974,680.80

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Solution

The fourth proportional to 74,503,974,680.80, 111,755,962,021.20 and 74,503,974,680.80 is: 111,755,962,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,503,974,680.80 : 111,755,962,021.20 = 74,503,974,680.80 : x
  2. Step 2: Convert to fraction form
    74,503,974,680.80/111,755,962,021.20 = 74,503,974,680.80/x
  3. Step 3: Cross multiply
    74,503,974,680.80x = 111,755,962,021.20 × 74,503,974,680.80
  4. Step 4: Simplify right side
    74,503,974,680.80x = 8,326,263,364,855,931,076,608
  5. Step 5: Solve for x
    x = 8,326,263,364,855,931,076,608/74,503,974,680.80
  6. Step 6: Final answer
    x = 111,755,962,021.20

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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.