Finding the Fourth Proportional to 1,676,519,217,781.20, 2,514,778,826,671.70 and 921,611,103,656.40
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Solution
The fourth proportional to 1,676,519,217,781.20, 2,514,778,826,671.70 and 921,611,103,656.40 is: 1,382,416,655,484.55
Step by Step Solution
- Step 1: Write the proportion equation
1,676,519,217,781.20 : 2,514,778,826,671.70 = 921,611,103,656.40 : x - Step 2: Convert to fraction form
1,676,519,217,781.20/2,514,778,826,671.70 = 921,611,103,656.40/x - Step 3: Cross multiply
1,676,519,217,781.20x = 2,514,778,826,671.70 × 921,611,103,656.40 - Step 4: Simplify right side
1,676,519,217,781.20x = 2,317,648,089,900,652,288,802,816 - Step 5: Solve for x
x = 2,317,648,089,900,652,288,802,816/1,676,519,217,781.20 - Step 6: Final answer
x = 1,382,416,655,484.55
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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.