Finding the Fourth Proportional to 3,997,509,840,948.40, 5,516,563,580,508 and 2,286,660,961,524.20
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Solution
The fourth proportional to 3,997,509,840,948.40, 5,516,563,580,508 and 2,286,660,961,524.20 is: 3,155,592,126,902.94
Step by Step Solution
- Step 1: Write the proportion equation
3,997,509,840,948.40 : 5,516,563,580,508 = 2,286,660,961,524.20 : x - Step 2: Convert to fraction form
3,997,509,840,948.40/5,516,563,580,508 = 2,286,660,961,524.20/x - Step 3: Cross multiply
3,997,509,840,948.40x = 5,516,563,580,508 × 2,286,660,961,524.20 - Step 4: Simplify right side
3,997,509,840,948.40x = 12,614,510,581,313,807,767,830,528 - Step 5: Solve for x
x = 12,614,510,581,313,807,767,830,528/3,997,509,840,948.40 - Step 6: Final answer
x = 3,155,592,126,902.94
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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.