Finding the Fourth Proportional to 2,113,735,310,928.40, 3,169,305,386,871.20 and 821,437,646,614
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Solution
The fourth proportional to 2,113,735,310,928.40, 3,169,305,386,871.20 and 821,437,646,614 is: 1,231,652,205,899.46
Step by Step Solution
- Step 1: Write the proportion equation
2,113,735,310,928.40 : 3,169,305,386,871.20 = 821,437,646,614 : x - Step 2: Convert to fraction form
2,113,735,310,928.40/3,169,305,386,871.20 = 821,437,646,614/x - Step 3: Cross multiply
2,113,735,310,928.40x = 3,169,305,386,871.20 × 821,437,646,614 - Step 4: Simplify right side
2,113,735,310,928.40x = 2,603,386,758,392,551,732,936,704 - Step 5: Solve for x
x = 2,603,386,758,392,551,732,936,704/2,113,735,310,928.40 - Step 6: Final answer
x = 1,231,652,205,899.46
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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.