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Finding the Fourth Proportional to 456,897,728.80, 685,738,503.60 and 184,464,013.60

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Solution

The fourth proportional to 456,897,728.80, 685,738,503.60 and 184,464,013.60 is: 276,854,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,897,728.80 : 685,738,503.60 = 184,464,013.60 : x
  2. Step 2: Convert to fraction form
    456,897,728.80/685,738,503.60 = 184,464,013.60/x
  3. Step 3: Cross multiply
    456,897,728.80x = 685,738,503.60 × 184,464,013.60
  4. Step 4: Simplify right side
    456,897,728.80x = 126,494,076,654,114,048
  5. Step 5: Solve for x
    x = 126,494,076,654,114,048/456,897,728.80
  6. Step 6: Final answer
    x = 276,854,246.98

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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.