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Finding the Fourth Proportional to 5,189,173,632,204.90, 7,783,760,448,307.40 and 5,189,173,632,204.90

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Solution

The fourth proportional to 5,189,173,632,204.90, 7,783,760,448,307.40 and 5,189,173,632,204.90 is: 7,783,760,448,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,173,632,204.90 : 7,783,760,448,307.40 = 5,189,173,632,204.90 : x
  2. Step 2: Convert to fraction form
    5,189,173,632,204.90/7,783,760,448,307.40 = 5,189,173,632,204.90/x
  3. Step 3: Cross multiply
    5,189,173,632,204.90x = 7,783,760,448,307.40 × 5,189,173,632,204.90
  4. Step 4: Simplify right side
    5,189,173,632,204.90x = 40,391,284,477,756,159,473,745,920
  5. Step 5: Solve for x
    x = 40,391,284,477,756,159,473,745,920/5,189,173,632,204.90
  6. Step 6: Final answer
    x = 7,783,760,448,307.40

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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.