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Finding the Fourth Proportional to 660,052,405,830.30, 990,078,608,745.45 and 660,052,405,830.30

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Solution

The fourth proportional to 660,052,405,830.30, 990,078,608,745.45 and 660,052,405,830.30 is: 990,078,608,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,052,405,830.30 : 990,078,608,745.45 = 660,052,405,830.30 : x
  2. Step 2: Convert to fraction form
    660,052,405,830.30/990,078,608,745.45 = 660,052,405,830.30/x
  3. Step 3: Cross multiply
    660,052,405,830.30x = 990,078,608,745.45 × 660,052,405,830.30
  4. Step 4: Simplify right side
    660,052,405,830.30x = 653,503,767,663,550,530,584,576
  5. Step 5: Solve for x
    x = 653,503,767,663,550,530,584,576/660,052,405,830.30
  6. Step 6: Final answer
    x = 990,078,608,745.45

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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.