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Finding the Fourth Proportional to 1,099,627,851.60, 1,649,441,777.40 and 1,099,627,851.60

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Solution

The fourth proportional to 1,099,627,851.60, 1,649,441,777.40 and 1,099,627,851.60 is: 1,649,441,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,627,851.60 : 1,649,441,777.40 = 1,099,627,851.60 : x
  2. Step 2: Convert to fraction form
    1,099,627,851.60/1,649,441,777.40 = 1,099,627,851.60/x
  3. Step 3: Cross multiply
    1,099,627,851.60x = 1,649,441,777.40 × 1,099,627,851.60
  4. Step 4: Simplify right side
    1,099,627,851.60x = 1,813,772,118,021,647,360
  5. Step 5: Solve for x
    x = 1,813,772,118,021,647,360/1,099,627,851.60
  6. Step 6: Final answer
    x = 1,649,441,777.40

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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.