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Finding the Fourth Proportional to 65,412,030,100.20, 98,118,045,150.30 and 65,412,030,100.20

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Solution

The fourth proportional to 65,412,030,100.20, 98,118,045,150.30 and 65,412,030,100.20 is: 98,118,045,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412,030,100.20 : 98,118,045,150.30 = 65,412,030,100.20 : x
  2. Step 2: Convert to fraction form
    65,412,030,100.20/98,118,045,150.30 = 65,412,030,100.20/x
  3. Step 3: Cross multiply
    65,412,030,100.20x = 98,118,045,150.30 × 65,412,030,100.20
  4. Step 4: Simplify right side
    65,412,030,100.20x = 6,418,100,522,744,206,589,952
  5. Step 5: Solve for x
    x = 6,418,100,522,744,206,589,952/65,412,030,100.20
  6. Step 6: Final answer
    x = 98,118,045,150.30

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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.