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Finding the Fourth Proportional to 1,099,608,729,308.20, 1,649,413,093,962.30 and 1,099,608,729,308.20

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Solution

The fourth proportional to 1,099,608,729,308.20, 1,649,413,093,962.30 and 1,099,608,729,308.20 is: 1,649,413,093,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,608,729,308.20 : 1,649,413,093,962.30 = 1,099,608,729,308.20 : x
  2. Step 2: Convert to fraction form
    1,099,608,729,308.20/1,649,413,093,962.30 = 1,099,608,729,308.20/x
  3. Step 3: Cross multiply
    1,099,608,729,308.20x = 1,649,413,093,962.30 × 1,099,608,729,308.20
  4. Step 4: Simplify right side
    1,099,608,729,308.20x = 1,813,709,036,356,191,452,659,712
  5. Step 5: Solve for x
    x = 1,813,709,036,356,191,452,659,712/1,099,608,729,308.20
  6. Step 6: Final answer
    x = 1,649,413,093,962.30

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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.