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Finding the Fourth Proportional to 165,969,326.40, 232,697,179.20 and 165,969,326.40

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Solution

The fourth proportional to 165,969,326.40, 232,697,179.20 and 165,969,326.40 is: 232,697,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969,326.40 : 232,697,179.20 = 165,969,326.40 : x
  2. Step 2: Convert to fraction form
    165,969,326.40/232,697,179.20 = 165,969,326.40/x
  3. Step 3: Cross multiply
    165,969,326.40x = 232,697,179.20 × 165,969,326.40
  4. Step 4: Simplify right side
    165,969,326.40x = 38,620,594,087,004,088
  5. Step 5: Solve for x
    x = 38,620,594,087,004,088/165,969,326.40
  6. Step 6: Final answer
    x = 232,697,179.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.