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Finding the Fourth Proportional to 27,938,990,531.05, 41,908,485,796.58 and 27,938,990,531.05

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Solution

The fourth proportional to 27,938,990,531.05, 41,908,485,796.58 and 27,938,990,531.05 is: 41,908,485,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938,990,531.05 : 41,908,485,796.58 = 27,938,990,531.05 : x
  2. Step 2: Convert to fraction form
    27,938,990,531.05/41,908,485,796.58 = 27,938,990,531.05/x
  3. Step 3: Cross multiply
    27,938,990,531.05x = 41,908,485,796.58 × 27,938,990,531.05
  4. Step 4: Simplify right side
    27,938,990,531.05x = 1,170,880,787,841,152,188,416
  5. Step 5: Solve for x
    x = 1,170,880,787,841,152,188,416/27,938,990,531.05
  6. Step 6: Final answer
    x = 41,908,485,796.58

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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.