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Finding the Fourth Proportional to 196,662,488.80, 294,741,790.80 and 174,995,442.40

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Solution

The fourth proportional to 196,662,488.80, 294,741,790.80 and 174,995,442.40 is: 262,268,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,662,488.80 : 294,741,790.80 = 174,995,442.40 : x
  2. Step 2: Convert to fraction form
    196,662,488.80/294,741,790.80 = 174,995,442.40/x
  3. Step 3: Cross multiply
    196,662,488.80x = 294,741,790.80 × 174,995,442.40
  4. Step 4: Simplify right side
    196,662,488.80x = 51,578,470,074,814,256
  5. Step 5: Solve for x
    x = 51,578,470,074,814,256/196,662,488.80
  6. Step 6: Final answer
    x = 262,268,978.64

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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.