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Finding the Fourth Proportional to 1,099,668,826.40, 1,649,503,239.60 and 1,099,668,826.40

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Solution

The fourth proportional to 1,099,668,826.40, 1,649,503,239.60 and 1,099,668,826.40 is: 1,649,503,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,668,826.40 : 1,649,503,239.60 = 1,099,668,826.40 : x
  2. Step 2: Convert to fraction form
    1,099,668,826.40/1,649,503,239.60 = 1,099,668,826.40/x
  3. Step 3: Cross multiply
    1,099,668,826.40x = 1,649,503,239.60 × 1,099,668,826.40
  4. Step 4: Simplify right side
    1,099,668,826.40x = 1,813,907,291,633,929,984
  5. Step 5: Solve for x
    x = 1,813,907,291,633,929,984/1,099,668,826.40
  6. Step 6: Final answer
    x = 1,649,503,239.60

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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.