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Finding the Fourth Proportional to 27,997,272,014.40, 41,995,908,021.60 and 27,997,272,014.40

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Solution

The fourth proportional to 27,997,272,014.40, 41,995,908,021.60 and 27,997,272,014.40 is: 41,995,908,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997,272,014.40 : 41,995,908,021.60 = 27,997,272,014.40 : x
  2. Step 2: Convert to fraction form
    27,997,272,014.40/41,995,908,021.60 = 27,997,272,014.40/x
  3. Step 3: Cross multiply
    27,997,272,014.40x = 41,995,908,021.60 × 27,997,272,014.40
  4. Step 4: Simplify right side
    27,997,272,014.40x = 1,175,770,860,372,458,209,280
  5. Step 5: Solve for x
    x = 1,175,770,860,372,458,209,280/27,997,272,014.40
  6. Step 6: Final answer
    x = 41,995,908,021.60

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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.