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Finding the Fourth Proportional to 456,897,722.80, 685,738,494.60 and 184,464,007.60

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Solution

The fourth proportional to 456,897,722.80, 685,738,494.60 and 184,464,007.60 is: 276,854,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,897,722.80 : 685,738,494.60 = 184,464,007.60 : x
  2. Step 2: Convert to fraction form
    456,897,722.80/685,738,494.60 = 184,464,007.60/x
  3. Step 3: Cross multiply
    456,897,722.80x = 685,738,494.60 × 184,464,007.60
  4. Step 4: Simplify right side
    456,897,722.80x = 126,494,070,879,506,960
  5. Step 5: Solve for x
    x = 126,494,070,879,506,960/456,897,722.80
  6. Step 6: Final answer
    x = 276,854,237.98

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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.