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Finding the Fourth Proportional to 232,736,295,067.20, 349,104,442,600.77 and 232,736,295,067.20

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Solution

The fourth proportional to 232,736,295,067.20, 349,104,442,600.77 and 232,736,295,067.20 is: 349,104,442,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736,295,067.20 : 349,104,442,600.77 = 232,736,295,067.20 : x
  2. Step 2: Convert to fraction form
    232,736,295,067.20/349,104,442,600.77 = 232,736,295,067.20/x
  3. Step 3: Cross multiply
    232,736,295,067.20x = 349,104,442,600.77 × 232,736,295,067.20
  4. Step 4: Simplify right side
    232,736,295,067.20x = 81,249,274,562,403,194,896,384
  5. Step 5: Solve for x
    x = 81,249,274,562,403,194,896,384/232,736,295,067.20
  6. Step 6: Final answer
    x = 349,104,442,600.77

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1.5x scale

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.