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Finding the Fourth Proportional to 4,474,497,029,189, 6,711,745,543,783.40 and 4,474,497,029,189

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Solution

The fourth proportional to 4,474,497,029,189, 6,711,745,543,783.40 and 4,474,497,029,189 is: 6,711,745,543,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474,497,029,189 : 6,711,745,543,783.40 = 4,474,497,029,189 : x
  2. Step 2: Convert to fraction form
    4,474,497,029,189/6,711,745,543,783.40 = 4,474,497,029,189/x
  3. Step 3: Cross multiply
    4,474,497,029,189x = 6,711,745,543,783.40 × 4,474,497,029,189
  4. Step 4: Simplify right side
    4,474,497,029,189x = 30,031,685,496,331,335,343,538,176
  5. Step 5: Solve for x
    x = 30,031,685,496,331,335,343,538,176/4,474,497,029,189
  6. Step 6: Final answer
    x = 6,711,745,543,783.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.