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Finding the Fourth Proportional to 705,659,769.89, 973,811,289.78 and 392,387,257.79

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Solution

The fourth proportional to 705,659,769.89, 973,811,289.78 and 392,387,257.79 is: 541,494,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,659,769.89 : 973,811,289.78 = 392,387,257.79 : x
  2. Step 2: Convert to fraction form
    705,659,769.89/973,811,289.78 = 392,387,257.79/x
  3. Step 3: Cross multiply
    705,659,769.89x = 973,811,289.78 × 392,387,257.79
  4. Step 4: Simplify right side
    705,659,769.89x = 382,111,141,596,848,192
  5. Step 5: Solve for x
    x = 382,111,141,596,848,192/705,659,769.89
  6. Step 6: Final answer
    x = 541,494,864.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.