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Finding the Fourth Proportional to 265,738,696.80, 398,608,045.20 and 197,714,248.80

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Solution

The fourth proportional to 265,738,696.80, 398,608,045.20 and 197,714,248.80 is: 296,571,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738,696.80 : 398,608,045.20 = 197,714,248.80 : x
  2. Step 2: Convert to fraction form
    265,738,696.80/398,608,045.20 = 197,714,248.80/x
  3. Step 3: Cross multiply
    265,738,696.80x = 398,608,045.20 × 197,714,248.80
  4. Step 4: Simplify right side
    265,738,696.80x = 78,810,490,222,354,448
  5. Step 5: Solve for x
    x = 78,810,490,222,354,448/265,738,696.80
  6. Step 6: Final answer
    x = 296,571,373.20

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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.