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Finding the Fourth Proportional to 505,671,696.60, 758,558,064.60 and 137,212,497.60

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Solution

The fourth proportional to 505,671,696.60, 758,558,064.60 and 137,212,497.60 is: 205,832,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,671,696.60 : 758,558,064.60 = 137,212,497.60 : x
  2. Step 2: Convert to fraction form
    505,671,696.60/758,558,064.60 = 137,212,497.60/x
  3. Step 3: Cross multiply
    505,671,696.60x = 758,558,064.60 × 137,212,497.60
  4. Step 4: Simplify right side
    505,671,696.60x = 104,083,646,618,388,144
  5. Step 5: Solve for x
    x = 104,083,646,618,388,144/505,671,696.60
  6. Step 6: Final answer
    x = 205,832,454.77

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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.