Finding the Fourth Proportional to 1,687,201,282,459.30, 2,328,530,922,475.60 and 945,808,361,156.68
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Solution
The fourth proportional to 1,687,201,282,459.30, 2,328,530,922,475.60 and 945,808,361,156.68 is: 1,305,323,815,590.70
Step by Step Solution
- Step 1: Write the proportion equation
1,687,201,282,459.30 : 2,328,530,922,475.60 = 945,808,361,156.68 : x - Step 2: Convert to fraction form
1,687,201,282,459.30/2,328,530,922,475.60 = 945,808,361,156.68/x - Step 3: Cross multiply
1,687,201,282,459.30x = 2,328,530,922,475.60 × 945,808,361,156.68 - Step 4: Simplify right side
1,687,201,282,459.30x = 2,202,344,015,689,299,800,358,912 - Step 5: Solve for x
x = 2,202,344,015,689,299,800,358,912/1,687,201,282,459.30 - Step 6: Final answer
x = 1,305,323,815,590.70
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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.