Finding the Fourth Proportional to 1,523,197,047.96, 2,102,313,380.13 and 988,011,963.09
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Solution
The fourth proportional to 1,523,197,047.96, 2,102,313,380.13 and 988,011,963.09 is: 1,363,652,045.23
Step by Step Solution
- Step 1: Write the proportion equation
1,523,197,047.96 : 2,102,313,380.13 = 988,011,963.09 : x - Step 2: Convert to fraction form
1,523,197,047.96/2,102,313,380.13 = 988,011,963.09/x - Step 3: Cross multiply
1,523,197,047.96x = 2,102,313,380.13 × 988,011,963.09 - Step 4: Simplify right side
1,523,197,047.96x = 2,077,110,769,732,614,912 - Step 5: Solve for x
x = 2,077,110,769,732,614,912/1,523,197,047.96 - Step 6: Final answer
x = 1,363,652,045.23
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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.