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Finding the Fourth Proportional to 2,589,767,523.60, 3,884,651,285.40 and 2,589,767,523.60

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Solution

The fourth proportional to 2,589,767,523.60, 3,884,651,285.40 and 2,589,767,523.60 is: 3,884,651,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,767,523.60 : 3,884,651,285.40 = 2,589,767,523.60 : x
  2. Step 2: Convert to fraction form
    2,589,767,523.60/3,884,651,285.40 = 2,589,767,523.60/x
  3. Step 3: Cross multiply
    2,589,767,523.60x = 3,884,651,285.40 × 2,589,767,523.60
  4. Step 4: Simplify right side
    2,589,767,523.60x = 10,060,343,739,439,915,008
  5. Step 5: Solve for x
    x = 10,060,343,739,439,915,008/2,589,767,523.60
  6. Step 6: Final answer
    x = 3,884,651,285.40

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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.