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Finding the Fourth Proportional to 9,660,449,856.70, 14,490,674,785.05 and 9,660,449,856.70

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Solution

The fourth proportional to 9,660,449,856.70, 14,490,674,785.05 and 9,660,449,856.70 is: 14,490,674,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660,449,856.70 : 14,490,674,785.05 = 9,660,449,856.70 : x
  2. Step 2: Convert to fraction form
    9,660,449,856.70/14,490,674,785.05 = 9,660,449,856.70/x
  3. Step 3: Cross multiply
    9,660,449,856.70x = 14,490,674,785.05 × 9,660,449,856.70
  4. Step 4: Simplify right side
    9,660,449,856.70x = 139,986,437,150,722,572,288
  5. Step 5: Solve for x
    x = 139,986,437,150,722,572,288/9,660,449,856.70
  6. Step 6: Final answer
    x = 14,490,674,785.05

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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.