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Finding the Fourth Proportional to 217,505,643,407.20, 326,258,465,110.80 and 217,505,643,407.20

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Solution

The fourth proportional to 217,505,643,407.20, 326,258,465,110.80 and 217,505,643,407.20 is: 326,258,465,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,505,643,407.20 : 326,258,465,110.80 = 217,505,643,407.20 : x
  2. Step 2: Convert to fraction form
    217,505,643,407.20/326,258,465,110.80 = 217,505,643,407.20/x
  3. Step 3: Cross multiply
    217,505,643,407.20x = 326,258,465,110.80 × 217,505,643,407.20
  4. Step 4: Simplify right side
    217,505,643,407.20x = 70,963,057,370,970,072,285,184
  5. Step 5: Solve for x
    x = 70,963,057,370,970,072,285,184/217,505,643,407.20
  6. Step 6: Final answer
    x = 326,258,465,110.80

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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.