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Finding the Fourth Proportional to 398,196,342.68, 549,482,892.81 and 221,976,543.20

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Solution

The fourth proportional to 398,196,342.68, 549,482,892.81 and 221,976,543.20 is: 306,311,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,196,342.68 : 549,482,892.81 = 221,976,543.20 : x
  2. Step 2: Convert to fraction form
    398,196,342.68/549,482,892.81 = 221,976,543.20/x
  3. Step 3: Cross multiply
    398,196,342.68x = 549,482,892.81 × 221,976,543.20
  4. Step 4: Simplify right side
    398,196,342.68x = 121,972,313,093,499,920
  5. Step 5: Solve for x
    x = 121,972,313,093,499,920/398,196,342.68
  6. Step 6: Final answer
    x = 306,311,987.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.