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Finding the Fourth Proportional to 136,049,208,039.20, 203,706,480,039.60 and 136,049,208,039.20

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Solution

The fourth proportional to 136,049,208,039.20, 203,706,480,039.60 and 136,049,208,039.20 is: 203,706,480,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,049,208,039.20 : 203,706,480,039.60 = 136,049,208,039.20 : x
  2. Step 2: Convert to fraction form
    136,049,208,039.20/203,706,480,039.60 = 136,049,208,039.20/x
  3. Step 3: Cross multiply
    136,049,208,039.20x = 203,706,480,039.60 × 136,049,208,039.20
  4. Step 4: Simplify right side
    136,049,208,039.20x = 27,714,105,281,840,683,155,456
  5. Step 5: Solve for x
    x = 27,714,105,281,840,683,155,456/136,049,208,039.20
  6. Step 6: Final answer
    x = 203,706,480,039.60

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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.