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Finding the Fourth Proportional to 301,796,297, 416,478,894.18 and 164,441,033

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Solution

The fourth proportional to 301,796,297, 416,478,894.18 and 164,441,033 is: 226,928,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,796,297 : 416,478,894.18 = 164,441,033 : x
  2. Step 2: Convert to fraction form
    301,796,297/416,478,894.18 = 164,441,033/x
  3. Step 3: Cross multiply
    301,796,297x = 416,478,894.18 × 164,441,033
  4. Step 4: Simplify right side
    301,796,297x = 68,486,219,581,656,888
  5. Step 5: Solve for x
    x = 68,486,219,581,656,888/301,796,297
  6. Step 6: Final answer
    x = 226,928,627.89

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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.