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Finding the Fourth Proportional to 259,697,580,216.40, 389,546,370,324.60 and 259,697,580,216.40

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Solution

The fourth proportional to 259,697,580,216.40, 389,546,370,324.60 and 259,697,580,216.40 is: 389,546,370,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,580,216.40 : 389,546,370,324.60 = 259,697,580,216.40 : x
  2. Step 2: Convert to fraction form
    259,697,580,216.40/389,546,370,324.60 = 259,697,580,216.40/x
  3. Step 3: Cross multiply
    259,697,580,216.40x = 389,546,370,324.60 × 259,697,580,216.40
  4. Step 4: Simplify right side
    259,697,580,216.40x = 101,164,249,755,380,254,507,008
  5. Step 5: Solve for x
    x = 101,164,249,755,380,254,507,008/259,697,580,216.40
  6. Step 6: Final answer
    x = 389,546,370,324.60

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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.