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Finding the Fourth Proportional to 209,632,259,722.60, 314,448,389,583.90 and 209,632,259,722.60

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Solution

The fourth proportional to 209,632,259,722.60, 314,448,389,583.90 and 209,632,259,722.60 is: 314,448,389,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,632,259,722.60 : 314,448,389,583.90 = 209,632,259,722.60 : x
  2. Step 2: Convert to fraction form
    209,632,259,722.60/314,448,389,583.90 = 209,632,259,722.60/x
  3. Step 3: Cross multiply
    209,632,259,722.60x = 314,448,389,583.90 × 209,632,259,722.60
  4. Step 4: Simplify right side
    209,632,259,722.60x = 65,918,526,474,605,444,464,640
  5. Step 5: Solve for x
    x = 65,918,526,474,605,444,464,640/209,632,259,722.60
  6. Step 6: Final answer
    x = 314,448,389,583.90

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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.