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Finding the Fourth Proportional to 27,939,014,799.80, 41,908,522,199.70 and 27,939,014,799.80

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Solution

The fourth proportional to 27,939,014,799.80, 41,908,522,199.70 and 27,939,014,799.80 is: 41,908,522,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,939,014,799.80 : 41,908,522,199.70 = 27,939,014,799.80 : x
  2. Step 2: Convert to fraction form
    27,939,014,799.80/41,908,522,199.70 = 27,939,014,799.80/x
  3. Step 3: Cross multiply
    27,939,014,799.80x = 41,908,522,199.70 × 27,939,014,799.80
  4. Step 4: Simplify right side
    27,939,014,799.80x = 1,170,882,821,975,164,977,152
  5. Step 5: Solve for x
    x = 1,170,882,821,975,164,977,152/27,939,014,799.80
  6. Step 6: Final answer
    x = 41,908,522,199.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.