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Finding the Fourth Proportional to 266,119,034.40, 399,178,551.60 and 120,622,298.40

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Solution

The fourth proportional to 266,119,034.40, 399,178,551.60 and 120,622,298.40 is: 180,933,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,119,034.40 : 399,178,551.60 = 120,622,298.40 : x
  2. Step 2: Convert to fraction form
    266,119,034.40/399,178,551.60 = 120,622,298.40/x
  3. Step 3: Cross multiply
    266,119,034.40x = 399,178,551.60 × 120,622,298.40
  4. Step 4: Simplify right side
    266,119,034.40x = 48,149,834,365,975,000
  5. Step 5: Solve for x
    x = 48,149,834,365,975,000/266,119,034.40
  6. Step 6: Final answer
    x = 180,933,447.60

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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.