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Finding the Fourth Proportional to 230,175,279.15, 345,262,918.73 and 230,175,279.15

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Solution

The fourth proportional to 230,175,279.15, 345,262,918.73 and 230,175,279.15 is: 345,262,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,175,279.15 : 345,262,918.73 = 230,175,279.15 : x
  2. Step 2: Convert to fraction form
    230,175,279.15/345,262,918.73 = 230,175,279.15/x
  3. Step 3: Cross multiply
    230,175,279.15x = 345,262,918.73 × 230,175,279.15
  4. Step 4: Simplify right side
    230,175,279.15x = 79,470,988,697,670,640
  5. Step 5: Solve for x
    x = 79,470,988,697,670,640/230,175,279.15
  6. Step 6: Final answer
    x = 345,262,918.73

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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.