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Finding the Fourth Proportional to 366,596,581.80, 550,532,601.90 and 194,409,697.80

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Solution

The fourth proportional to 366,596,581.80, 550,532,601.90 and 194,409,697.80 is: 291,952,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,596,581.80 : 550,532,601.90 = 194,409,697.80 : x
  2. Step 2: Convert to fraction form
    366,596,581.80/550,532,601.90 = 194,409,697.80/x
  3. Step 3: Cross multiply
    366,596,581.80x = 550,532,601.90 × 194,409,697.80
  4. Step 4: Simplify right side
    366,596,581.80x = 107,028,876,764,426,704
  5. Step 5: Solve for x
    x = 107,028,876,764,426,704/366,596,581.80
  6. Step 6: Final answer
    x = 291,952,740.64

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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.