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Finding the Fourth Proportional to 980,955,496,476.20, 1,471,433,244,714.30 and 980,955,496,476.20

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Solution

The fourth proportional to 980,955,496,476.20, 1,471,433,244,714.30 and 980,955,496,476.20 is: 1,471,433,244,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,955,496,476.20 : 1,471,433,244,714.30 = 980,955,496,476.20 : x
  2. Step 2: Convert to fraction form
    980,955,496,476.20/1,471,433,244,714.30 = 980,955,496,476.20/x
  3. Step 3: Cross multiply
    980,955,496,476.20x = 1,471,433,244,714.30 × 980,955,496,476.20
  4. Step 4: Simplify right side
    980,955,496,476.20x = 1,443,410,529,100,301,911,195,648
  5. Step 5: Solve for x
    x = 1,443,410,529,100,301,911,195,648/980,955,496,476.20
  6. Step 6: Final answer
    x = 1,471,433,244,714.30

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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.