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Finding the Fourth Proportional to 281,717,888,944.65, 422,576,833,416.98 and 281,717,888,944.65

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Solution

The fourth proportional to 281,717,888,944.65, 422,576,833,416.98 and 281,717,888,944.65 is: 422,576,833,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,717,888,944.65 : 422,576,833,416.98 = 281,717,888,944.65 : x
  2. Step 2: Convert to fraction form
    281,717,888,944.65/422,576,833,416.98 = 281,717,888,944.65/x
  3. Step 3: Cross multiply
    281,717,888,944.65x = 422,576,833,416.98 × 281,717,888,944.65
  4. Step 4: Simplify right side
    281,717,888,944.65x = 119,047,453,427,146,644,520,960
  5. Step 5: Solve for x
    x = 119,047,453,427,146,644,520,960/281,717,888,944.65
  6. Step 6: Final answer
    x = 422,576,833,416.98

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1.5x scale

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.