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Finding the Fourth Proportional to 259,697,580,180.90, 389,546,370,271.35 and 259,697,580,180.90

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Solution

The fourth proportional to 259,697,580,180.90, 389,546,370,271.35 and 259,697,580,180.90 is: 389,546,370,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,580,180.90 : 389,546,370,271.35 = 259,697,580,180.90 : x
  2. Step 2: Convert to fraction form
    259,697,580,180.90/389,546,370,271.35 = 259,697,580,180.90/x
  3. Step 3: Cross multiply
    259,697,580,180.90x = 389,546,370,271.35 × 259,697,580,180.90
  4. Step 4: Simplify right side
    259,697,580,180.90x = 101,164,249,727,722,460,282,880
  5. Step 5: Solve for x
    x = 101,164,249,727,722,460,282,880/259,697,580,180.90
  6. Step 6: Final answer
    x = 389,546,370,271.35

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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.