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Finding the Fourth Proportional to 18,535,543,762.20, 27,803,315,643.30 and 18,535,543,762.20

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Solution

The fourth proportional to 18,535,543,762.20, 27,803,315,643.30 and 18,535,543,762.20 is: 27,803,315,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535,543,762.20 : 27,803,315,643.30 = 18,535,543,762.20 : x
  2. Step 2: Convert to fraction form
    18,535,543,762.20/27,803,315,643.30 = 18,535,543,762.20/x
  3. Step 3: Cross multiply
    18,535,543,762.20x = 27,803,315,643.30 × 18,535,543,762.20
  4. Step 4: Simplify right side
    18,535,543,762.20x = 515,349,573,840,647,028,736
  5. Step 5: Solve for x
    x = 515,349,573,840,647,028,736/18,535,543,762.20
  6. Step 6: Final answer
    x = 27,803,315,643.30

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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.