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Finding the Fourth Proportional to 175,879,336,003.52, 263,819,004,005.30 and 175,879,336,003.52

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Solution

The fourth proportional to 175,879,336,003.52, 263,819,004,005.30 and 175,879,336,003.52 is: 263,819,004,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,879,336,003.52 : 263,819,004,005.30 = 175,879,336,003.52 : x
  2. Step 2: Convert to fraction form
    175,879,336,003.52/263,819,004,005.30 = 175,879,336,003.52/x
  3. Step 3: Cross multiply
    175,879,336,003.52x = 263,819,004,005.30 × 175,879,336,003.52
  4. Step 4: Simplify right side
    175,879,336,003.52x = 46,400,311,249,562,142,507,008
  5. Step 5: Solve for x
    x = 46,400,311,249,562,142,507,008/175,879,336,003.52
  6. Step 6: Final answer
    x = 263,819,004,005.30

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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.