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Finding the Fourth Proportional to 281,717,888,910.90, 422,576,833,366.35 and 281,717,888,910.90

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Solution

The fourth proportional to 281,717,888,910.90, 422,576,833,366.35 and 281,717,888,910.90 is: 422,576,833,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,717,888,910.90 : 422,576,833,366.35 = 281,717,888,910.90 : x
  2. Step 2: Convert to fraction form
    281,717,888,910.90/422,576,833,366.35 = 281,717,888,910.90/x
  3. Step 3: Cross multiply
    281,717,888,910.90x = 422,576,833,366.35 × 281,717,888,910.90
  4. Step 4: Simplify right side
    281,717,888,910.90x = 119,047,453,398,621,300,457,472
  5. Step 5: Solve for x
    x = 119,047,453,398,621,300,457,472/281,717,888,910.90
  6. Step 6: Final answer
    x = 422,576,833,366.35

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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.