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Finding the Fourth Proportional to 14,486,976,163.80, 21,730,464,245.70 and 14,486,976,163.80

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Solution

The fourth proportional to 14,486,976,163.80, 21,730,464,245.70 and 14,486,976,163.80 is: 21,730,464,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486,976,163.80 : 21,730,464,245.70 = 14,486,976,163.80 : x
  2. Step 2: Convert to fraction form
    14,486,976,163.80/21,730,464,245.70 = 14,486,976,163.80/x
  3. Step 3: Cross multiply
    14,486,976,163.80x = 21,730,464,245.70 × 14,486,976,163.80
  4. Step 4: Simplify right side
    14,486,976,163.80x = 314,808,717,555,764,035,584
  5. Step 5: Solve for x
    x = 314,808,717,555,764,035,584/14,486,976,163.80
  6. Step 6: Final answer
    x = 21,730,464,245.70

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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.