Finding the Fourth Proportional to 286,800,959,927.78, 395,820,030,649.10 and 163,232,143,227
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Solution
The fourth proportional to 286,800,959,927.78, 395,820,030,649.10 and 163,232,143,227 is: 225,280,110,468.60
Step by Step Solution
- Step 1: Write the proportion equation
286,800,959,927.78 : 395,820,030,649.10 = 163,232,143,227 : x - Step 2: Convert to fraction form
286,800,959,927.78/395,820,030,649.10 = 163,232,143,227/x - Step 3: Cross multiply
286,800,959,927.78x = 395,820,030,649.10 × 163,232,143,227 - Step 4: Simplify right side
286,800,959,927.78x = 64,610,551,935,029,420,752,896 - Step 5: Solve for x
x = 64,610,551,935,029,420,752,896/286,800,959,927.78 - Step 6: Final answer
x = 225,280,110,468.60
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1.5x scale
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.