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Finding the Fourth Proportional to 891,275,188,220.10, 1,336,912,782,330.10 and 891,275,188,220.10

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Solution

The fourth proportional to 891,275,188,220.10, 1,336,912,782,330.10 and 891,275,188,220.10 is: 1,336,912,782,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,275,188,220.10 : 1,336,912,782,330.10 = 891,275,188,220.10 : x
  2. Step 2: Convert to fraction form
    891,275,188,220.10/1,336,912,782,330.10 = 891,275,188,220.10/x
  3. Step 3: Cross multiply
    891,275,188,220.10x = 1,336,912,782,330.10 × 891,275,188,220.10
  4. Step 4: Simplify right side
    891,275,188,220.10x = 1,191,557,191,705,117,547,560,960
  5. Step 5: Solve for x
    x = 1,191,557,191,705,117,547,560,960/891,275,188,220.10
  6. Step 6: Final answer
    x = 1,336,912,782,330.10

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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.