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Finding the Fourth Proportional to 506,898,135.60, 760,158,246.60 and 200,126,770.80

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Solution

The fourth proportional to 506,898,135.60, 760,158,246.60 and 200,126,770.80 is: 300,115,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,898,135.60 : 760,158,246.60 = 200,126,770.80 : x
  2. Step 2: Convert to fraction form
    506,898,135.60/760,158,246.60 = 200,126,770.80/x
  3. Step 3: Cross multiply
    506,898,135.60x = 760,158,246.60 × 200,126,770.80
  4. Step 4: Simplify right side
    506,898,135.60x = 152,128,015,189,048,096
  5. Step 5: Solve for x
    x = 152,128,015,189,048,096/506,898,135.60
  6. Step 6: Final answer
    x = 300,115,554.79

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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.