Finding the Fourth Proportional to 6,814,998,218,737.80, 10,223,125,751,021 and 2,225,551,175,758.20
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Solution
The fourth proportional to 6,814,998,218,737.80, 10,223,125,751,021 and 2,225,551,175,758.20 is: 3,338,531,985,606.68
Step by Step Solution
- Step 1: Write the proportion equation
6,814,998,218,737.80 : 10,223,125,751,021 = 2,225,551,175,758.20 : x - Step 2: Convert to fraction form
6,814,998,218,737.80/10,223,125,751,021 = 2,225,551,175,758.20/x - Step 3: Cross multiply
6,814,998,218,737.80x = 10,223,125,751,021 × 2,225,551,175,758.20 - Step 4: Simplify right side
6,814,998,218,737.80x = 22,752,089,535,108,721,315,676,160 - Step 5: Solve for x
x = 22,752,089,535,108,721,315,676,160/6,814,998,218,737.80 - Step 6: Final answer
x = 3,338,531,985,606.68
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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.