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Finding the Fourth Proportional to 660,052,397,569.75, 990,078,596,354.60 and 660,052,397,569.75

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Solution

The fourth proportional to 660,052,397,569.75, 990,078,596,354.60 and 660,052,397,569.75 is: 990,078,596,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,052,397,569.75 : 990,078,596,354.60 = 660,052,397,569.75 : x
  2. Step 2: Convert to fraction form
    660,052,397,569.75/990,078,596,354.60 = 660,052,397,569.75/x
  3. Step 3: Cross multiply
    660,052,397,569.75x = 990,078,596,354.60 × 660,052,397,569.75
  4. Step 4: Simplify right side
    660,052,397,569.75x = 653,503,751,306,346,496,000,000
  5. Step 5: Solve for x
    x = 653,503,751,306,346,496,000,000/660,052,397,569.75
  6. Step 6: Final answer
    x = 990,078,596,354.60

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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.