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Finding the Fourth Proportional to 259,697,581,574.90, 389,546,372,362.34 and 259,697,581,574.90

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Solution

The fourth proportional to 259,697,581,574.90, 389,546,372,362.34 and 259,697,581,574.90 is: 389,546,372,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,581,574.90 : 389,546,372,362.34 = 259,697,581,574.90 : x
  2. Step 2: Convert to fraction form
    259,697,581,574.90/389,546,372,362.34 = 259,697,581,574.90/x
  3. Step 3: Cross multiply
    259,697,581,574.90x = 389,546,372,362.34 × 259,697,581,574.90
  4. Step 4: Simplify right side
    259,697,581,574.90x = 101,164,250,813,775,170,502,656
  5. Step 5: Solve for x
    x = 101,164,250,813,775,170,502,656/259,697,581,574.90
  6. Step 6: Final answer
    x = 389,546,372,362.34

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Double scale
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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.