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Finding the Fourth Proportional to 2,486,546,388,541, 3,729,819,582,811.50 and 2,486,546,388,541

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Solution

The fourth proportional to 2,486,546,388,541, 3,729,819,582,811.50 and 2,486,546,388,541 is: 3,729,819,582,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,546,388,541 : 3,729,819,582,811.50 = 2,486,546,388,541 : x
  2. Step 2: Convert to fraction form
    2,486,546,388,541/3,729,819,582,811.50 = 2,486,546,388,541/x
  3. Step 3: Cross multiply
    2,486,546,388,541x = 3,729,819,582,811.50 × 2,486,546,388,541
  4. Step 4: Simplify right side
    2,486,546,388,541x = 9,274,369,413,549,434,570,014,720
  5. Step 5: Solve for x
    x = 9,274,369,413,549,434,570,014,720/2,486,546,388,541
  6. Step 6: Final answer
    x = 3,729,819,582,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.