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Finding the Fourth Proportional to 95,600,319,978.93, 131,940,010,220.51 and 54,410,714,412

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Solution

The fourth proportional to 95,600,319,978.93, 131,940,010,220.51 and 54,410,714,412 is: 75,093,370,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,600,319,978.93 : 131,940,010,220.51 = 54,410,714,412 : x
  2. Step 2: Convert to fraction form
    95,600,319,978.93/131,940,010,220.51 = 54,410,714,412/x
  3. Step 3: Cross multiply
    95,600,319,978.93x = 131,940,010,220.51 × 54,410,714,412
  4. Step 4: Simplify right side
    95,600,319,978.93x = 7,178,950,215,624,530,329,600
  5. Step 5: Solve for x
    x = 7,178,950,215,624,530,329,600/95,600,319,978.93
  6. Step 6: Final answer
    x = 75,093,370,160.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.