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Finding the Fourth Proportional to 305,344,166.40, 458,016,249.60 and 305,344,166.40

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Solution

The fourth proportional to 305,344,166.40, 458,016,249.60 and 305,344,166.40 is: 458,016,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344,166.40 : 458,016,249.60 = 305,344,166.40 : x
  2. Step 2: Convert to fraction form
    305,344,166.40/458,016,249.60 = 305,344,166.40/x
  3. Step 3: Cross multiply
    305,344,166.40x = 458,016,249.60 × 305,344,166.40
  4. Step 4: Simplify right side
    305,344,166.40x = 139,852,589,931,766,336
  5. Step 5: Solve for x
    x = 139,852,589,931,766,336/305,344,166.40
  6. Step 6: Final answer
    x = 458,016,249.60

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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.