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Finding the Fourth Proportional to 655,120,500,828.06, 982,680,751,242.08 and 655,120,500,828.06

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Solution

The fourth proportional to 655,120,500,828.06, 982,680,751,242.08 and 655,120,500,828.06 is: 982,680,751,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,120,500,828.06 : 982,680,751,242.08 = 655,120,500,828.06 : x
  2. Step 2: Convert to fraction form
    655,120,500,828.06/982,680,751,242.08 = 655,120,500,828.06/x
  3. Step 3: Cross multiply
    655,120,500,828.06x = 982,680,751,242.08 × 655,120,500,828.06
  4. Step 4: Simplify right side
    655,120,500,828.06x = 643,774,305,907,805,683,449,856
  5. Step 5: Solve for x
    x = 643,774,305,907,805,683,449,856/655,120,500,828.06
  6. Step 6: Final answer
    x = 982,680,751,242.08

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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.