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Finding the Fourth Proportional to 209,714,608.80, 314,571,913.20 and 128,085,271.20

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Solution

The fourth proportional to 209,714,608.80, 314,571,913.20 and 128,085,271.20 is: 192,127,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,714,608.80 : 314,571,913.20 = 128,085,271.20 : x
  2. Step 2: Convert to fraction form
    209,714,608.80/314,571,913.20 = 128,085,271.20/x
  3. Step 3: Cross multiply
    209,714,608.80x = 314,571,913.20 × 128,085,271.20
  4. Step 4: Simplify right side
    209,714,608.80x = 40,292,028,814,124,856
  5. Step 5: Solve for x
    x = 40,292,028,814,124,856/209,714,608.80
  6. Step 6: Final answer
    x = 192,127,906.80

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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.