Finding the Fourth Proportional to 401,958,110,202, 603,115,216,026.24 and 210,684,690,880.08
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Solution
The fourth proportional to 401,958,110,202, 603,115,216,026.24 and 210,684,690,880.08 is: 316,120,360,874.68
Step by Step Solution
- Step 1: Write the proportion equation
401,958,110,202 : 603,115,216,026.24 = 210,684,690,880.08 : x - Step 2: Convert to fraction form
401,958,110,202/603,115,216,026.24 = 210,684,690,880.08/x - Step 3: Cross multiply
401,958,110,202x = 603,115,216,026.24 × 210,684,690,880.08 - Step 4: Simplify right side
401,958,110,202x = 127,067,142,853,561,036,046,336 - Step 5: Solve for x
x = 127,067,142,853,561,036,046,336/401,958,110,202 - Step 6: Final answer
x = 316,120,360,874.68
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.