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Finding the Fourth Proportional to 65,365,074,142.80, 98,047,611,214.20 and 65,365,074,142.80

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Solution

The fourth proportional to 65,365,074,142.80, 98,047,611,214.20 and 65,365,074,142.80 is: 98,047,611,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,365,074,142.80 : 98,047,611,214.20 = 65,365,074,142.80 : x
  2. Step 2: Convert to fraction form
    65,365,074,142.80/98,047,611,214.20 = 65,365,074,142.80/x
  3. Step 3: Cross multiply
    65,365,074,142.80x = 98,047,611,214.20 × 65,365,074,142.80
  4. Step 4: Simplify right side
    65,365,074,142.80x = 6,408,889,376,540,612,100,096
  5. Step 5: Solve for x
    x = 6,408,889,376,540,612,100,096/65,365,074,142.80
  6. Step 6: Final answer
    x = 98,047,611,214.20

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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.