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Finding the Fourth Proportional to 406,846,103.68, 561,441,008.64 and 221,211,794.08

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Solution

The fourth proportional to 406,846,103.68, 561,441,008.64 and 221,211,794.08 is: 305,268,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,846,103.68 : 561,441,008.64 = 221,211,794.08 : x
  2. Step 2: Convert to fraction form
    406,846,103.68/561,441,008.64 = 221,211,794.08/x
  3. Step 3: Cross multiply
    406,846,103.68x = 561,441,008.64 × 221,211,794.08
  4. Step 4: Simplify right side
    406,846,103.68x = 124,197,372,791,339,184
  5. Step 5: Solve for x
    x = 124,197,372,791,339,184/406,846,103.68
  6. Step 6: Final answer
    x = 305,268,679.40

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