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Finding the Fourth Proportional to 65,766,141,941.70, 98,649,212,912.55 and 65,766,141,941.70

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Solution

The fourth proportional to 65,766,141,941.70, 98,649,212,912.55 and 65,766,141,941.70 is: 98,649,212,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,766,141,941.70 : 98,649,212,912.55 = 65,766,141,941.70 : x
  2. Step 2: Convert to fraction form
    65,766,141,941.70/98,649,212,912.55 = 65,766,141,941.70/x
  3. Step 3: Cross multiply
    65,766,141,941.70x = 98,649,212,912.55 × 65,766,141,941.70
  4. Step 4: Simplify right side
    65,766,141,941.70x = 6,487,778,138,843,747,713,024
  5. Step 5: Solve for x
    x = 6,487,778,138,843,747,713,024/65,766,141,941.70
  6. Step 6: Final answer
    x = 98,649,212,912.55

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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.