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Finding the Fourth Proportional to 10,203,969,891.90, 15,281,768,367.45 and 10,203,969,891.90

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Solution

The fourth proportional to 10,203,969,891.90, 15,281,768,367.45 and 10,203,969,891.90 is: 15,281,768,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,969,891.90 : 15,281,768,367.45 = 10,203,969,891.90 : x
  2. Step 2: Convert to fraction form
    10,203,969,891.90/15,281,768,367.45 = 10,203,969,891.90/x
  3. Step 3: Cross multiply
    10,203,969,891.90x = 15,281,768,367.45 × 10,203,969,891.90
  4. Step 4: Simplify right side
    10,203,969,891.90x = 155,934,704,316,449,619,968
  5. Step 5: Solve for x
    x = 155,934,704,316,449,619,968/10,203,969,891.90
  6. Step 6: Final answer
    x = 15,281,768,367.45

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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.