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Finding the Fourth Proportional to 255,876,232.32, 383,814,037.44 and 83,352,764.16

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Solution

The fourth proportional to 255,876,232.32, 383,814,037.44 and 83,352,764.16 is: 125,029,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,876,232.32 : 383,814,037.44 = 83,352,764.16 : x
  2. Step 2: Convert to fraction form
    255,876,232.32/383,814,037.44 = 83,352,764.16/x
  3. Step 3: Cross multiply
    255,876,232.32x = 383,814,037.44 × 83,352,764.16
  4. Step 4: Simplify right side
    255,876,232.32x = 31,991,960,944,033,728
  5. Step 5: Solve for x
    x = 31,991,960,944,033,728/255,876,232.32
  6. Step 6: Final answer
    x = 125,029,044.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.