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Finding the Fourth Proportional to 55,306,999.80, 77,286,310.65 and 55,306,999.80

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Solution

The fourth proportional to 55,306,999.80, 77,286,310.65 and 55,306,999.80 is: 77,286,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,306,999.80 : 77,286,310.65 = 55,306,999.80 : x
  2. Step 2: Convert to fraction form
    55,306,999.80/77,286,310.65 = 55,306,999.80/x
  3. Step 3: Cross multiply
    55,306,999.80x = 77,286,310.65 × 55,306,999.80
  4. Step 4: Simplify right side
    55,306,999.80x = 4,274,473,967,662,288
  5. Step 5: Solve for x
    x = 4,274,473,967,662,288/55,306,999.80
  6. Step 6: Final answer
    x = 77,286,310.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.