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Finding the Fourth Proportional to 25,509,216,092.80, 38,263,824,139.20 and 25,509,216,092.80

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Solution

The fourth proportional to 25,509,216,092.80, 38,263,824,139.20 and 25,509,216,092.80 is: 38,263,824,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509,216,092.80 : 38,263,824,139.20 = 25,509,216,092.80 : x
  2. Step 2: Convert to fraction form
    25,509,216,092.80/38,263,824,139.20 = 25,509,216,092.80/x
  3. Step 3: Cross multiply
    25,509,216,092.80x = 38,263,824,139.20 × 25,509,216,092.80
  4. Step 4: Simplify right side
    25,509,216,092.80x = 976,080,158,503,749,681,152
  5. Step 5: Solve for x
    x = 976,080,158,503,749,681,152/25,509,216,092.80
  6. Step 6: Final answer
    x = 38,263,824,139.20

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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.