Finding the Fourth Proportional to 3,997,509,840,682, 5,516,563,580,141.90 and 2,286,660,961,258.10
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Solution
The fourth proportional to 3,997,509,840,682, 5,516,563,580,141.90 and 2,286,660,961,258.10 is: 3,155,592,126,536.60
Step by Step Solution
- Step 1: Write the proportion equation
3,997,509,840,682 : 5,516,563,580,141.90 = 2,286,660,961,258.10 : x - Step 2: Convert to fraction form
3,997,509,840,682/5,516,563,580,141.90 = 2,286,660,961,258.10/x - Step 3: Cross multiply
3,997,509,840,682x = 5,516,563,580,141.90 × 2,286,660,961,258.10 - Step 4: Simplify right side
3,997,509,840,682x = 12,614,510,579,008,703,115,034,624 - Step 5: Solve for x
x = 12,614,510,579,008,703,115,034,624/3,997,509,840,682 - Step 6: Final answer
x = 3,155,592,126,536.60
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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.