Finding the Fourth Proportional to 4,227,470,621,897.40, 6,338,610,773,804 and 1,642,875,293,268.80
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Solution
The fourth proportional to 4,227,470,621,897.40, 6,338,610,773,804 and 1,642,875,293,268.80 is: 2,463,304,411,860.38
Step by Step Solution
- Step 1: Write the proportion equation
4,227,470,621,897.40 : 6,338,610,773,804 = 1,642,875,293,268.80 : x - Step 2: Convert to fraction form
4,227,470,621,897.40/6,338,610,773,804 = 1,642,875,293,268.80/x - Step 3: Cross multiply
4,227,470,621,897.40x = 6,338,610,773,804 × 1,642,875,293,268.80 - Step 4: Simplify right side
4,227,470,621,897.40x = 10,413,547,033,930,022,111,936,512 - Step 5: Solve for x
x = 10,413,547,033,930,022,111,936,512/4,227,470,621,897.40 - Step 6: Final answer
x = 2,463,304,411,860.38
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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.