Finding the Fourth Proportional to 7,955,009,547.76, 10,978,178,194.97 and 4,338,230,623.17
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Solution
The fourth proportional to 7,955,009,547.76, 10,978,178,194.97 and 4,338,230,623.17 is: 5,986,902,786.99
Step by Step Solution
- Step 1: Write the proportion equation
7,955,009,547.76 : 10,978,178,194.97 = 4,338,230,623.17 : x - Step 2: Convert to fraction form
7,955,009,547.76/10,978,178,194.97 = 4,338,230,623.17/x - Step 3: Cross multiply
7,955,009,547.76x = 10,978,178,194.97 × 4,338,230,623.17 - Step 4: Simplify right side
7,955,009,547.76x = 47,625,868,832,036,003,840 - Step 5: Solve for x
x = 47,625,868,832,036,003,840/7,955,009,547.76 - Step 6: Final answer
x = 5,986,902,786.99
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1.5x scale
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.