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Finding the Fourth Proportional to 212,161,718,086.20, 318,242,577,129.30 and 212,161,718,086.20

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Solution

The fourth proportional to 212,161,718,086.20, 318,242,577,129.30 and 212,161,718,086.20 is: 318,242,577,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,161,718,086.20 : 318,242,577,129.30 = 212,161,718,086.20 : x
  2. Step 2: Convert to fraction form
    212,161,718,086.20/318,242,577,129.30 = 212,161,718,086.20/x
  3. Step 3: Cross multiply
    212,161,718,086.20x = 318,242,577,129.30 × 212,161,718,086.20
  4. Step 4: Simplify right side
    212,161,718,086.20x = 67,518,891,931,932,303,556,608
  5. Step 5: Solve for x
    x = 67,518,891,931,932,303,556,608/212,161,718,086.20
  6. Step 6: Final answer
    x = 318,242,577,129.30

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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.