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Finding the Fourth Proportional to 170,201,088,475.05, 255,301,632,712.57 and 170,201,088,475.05

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Solution

The fourth proportional to 170,201,088,475.05, 255,301,632,712.57 and 170,201,088,475.05 is: 255,301,632,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,201,088,475.05 : 255,301,632,712.57 = 170,201,088,475.05 : x
  2. Step 2: Convert to fraction form
    170,201,088,475.05/255,301,632,712.57 = 170,201,088,475.05/x
  3. Step 3: Cross multiply
    170,201,088,475.05x = 255,301,632,712.57 × 170,201,088,475.05
  4. Step 4: Simplify right side
    170,201,088,475.05x = 43,452,615,777,136,846,831,616
  5. Step 5: Solve for x
    x = 43,452,615,777,136,846,831,616/170,201,088,475.05
  6. Step 6: Final answer
    x = 255,301,632,712.57

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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.