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Finding the Fourth Proportional to 182,110,796.30, 255,529,071.10 and 182,110,796.30

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Solution

The fourth proportional to 182,110,796.30, 255,529,071.10 and 182,110,796.30 is: 255,529,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,110,796.30 : 255,529,071.10 = 182,110,796.30 : x
  2. Step 2: Convert to fraction form
    182,110,796.30/255,529,071.10 = 182,110,796.30/x
  3. Step 3: Cross multiply
    182,110,796.30x = 255,529,071.10 × 182,110,796.30
  4. Step 4: Simplify right side
    182,110,796.30x = 46,534,602,615,820,320
  5. Step 5: Solve for x
    x = 46,534,602,615,820,320/182,110,796.30
  6. Step 6: Final answer
    x = 255,529,071.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.