Finding the Fourth Proportional to 1,418,190,087,774.10, 2,127,415,905,415.80 and 463,133,689,316.80
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Solution
The fourth proportional to 1,418,190,087,774.10, 2,127,415,905,415.80 and 463,133,689,316.80 is: 694,743,240,331.69
Step by Step Solution
- Step 1: Write the proportion equation
1,418,190,087,774.10 : 2,127,415,905,415.80 = 463,133,689,316.80 : x - Step 2: Convert to fraction form
1,418,190,087,774.10/2,127,415,905,415.80 = 463,133,689,316.80/x - Step 3: Cross multiply
1,418,190,087,774.10x = 2,127,415,905,415.80 × 463,133,689,316.80 - Step 4: Simplify right side
1,418,190,087,774.10x = 985,277,976,986,459,874,263,040 - Step 5: Solve for x
x = 985,277,976,986,459,874,263,040/1,418,190,087,774.10 - Step 6: Final answer
x = 694,743,240,331.69
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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.