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Finding the Fourth Proportional to 209,632,259,721.60, 314,448,389,582.40 and 209,632,259,721.60

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Solution

The fourth proportional to 209,632,259,721.60, 314,448,389,582.40 and 209,632,259,721.60 is: 314,448,389,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,632,259,721.60 : 314,448,389,582.40 = 209,632,259,721.60 : x
  2. Step 2: Convert to fraction form
    209,632,259,721.60/314,448,389,582.40 = 209,632,259,721.60/x
  3. Step 3: Cross multiply
    209,632,259,721.60x = 314,448,389,582.40 × 209,632,259,721.60
  4. Step 4: Simplify right side
    209,632,259,721.60x = 65,918,526,473,976,542,134,272
  5. Step 5: Solve for x
    x = 65,918,526,473,976,542,134,272/209,632,259,721.60
  6. Step 6: Final answer
    x = 314,448,389,582.40

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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.