Finding the Fourth Proportional to 7,642,818,876,781.40, 11,465,838,399,160 and 2,479,260,707,678.50
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Solution
The fourth proportional to 7,642,818,876,781.40, 11,465,838,399,160 and 2,479,260,707,678.50 is: 3,719,413,358,072.41
Step by Step Solution
- Step 1: Write the proportion equation
7,642,818,876,781.40 : 11,465,838,399,160 = 2,479,260,707,678.50 : x - Step 2: Convert to fraction form
7,642,818,876,781.40/11,465,838,399,160 = 2,479,260,707,678.50/x - Step 3: Cross multiply
7,642,818,876,781.40x = 11,465,838,399,160 × 2,479,260,707,678.50 - Step 4: Simplify right side
7,642,818,876,781.40x = 28,426,802,623,628,742,534,103,040 - Step 5: Solve for x
x = 28,426,802,623,628,742,534,103,040/7,642,818,876,781.40 - Step 6: Final answer
x = 3,719,413,358,072.41
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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.