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Finding the Fourth Proportional to 25,649,143,477.20, 38,473,715,215.80 and 25,649,143,477.20

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Solution

The fourth proportional to 25,649,143,477.20, 38,473,715,215.80 and 25,649,143,477.20 is: 38,473,715,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649,143,477.20 : 38,473,715,215.80 = 25,649,143,477.20 : x
  2. Step 2: Convert to fraction form
    25,649,143,477.20/38,473,715,215.80 = 25,649,143,477.20/x
  3. Step 3: Cross multiply
    25,649,143,477.20x = 38,473,715,215.80 × 25,649,143,477.20
  4. Step 4: Simplify right side
    25,649,143,477.20x = 986,817,841,670,987,055,104
  5. Step 5: Solve for x
    x = 986,817,841,670,987,055,104/25,649,143,477.20
  6. Step 6: Final answer
    x = 38,473,715,215.80

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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.