Finding the Fourth Proportional to 673,237,442,215.48, 929,068,171,153.78 and 364,591,197,116.14
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Solution
The fourth proportional to 673,237,442,215.48, 929,068,171,153.78 and 364,591,197,116.14 is: 503,136,123,280.33
Step by Step Solution
- Step 1: Write the proportion equation
673,237,442,215.48 : 929,068,171,153.78 = 364,591,197,116.14 : x - Step 2: Convert to fraction form
673,237,442,215.48/929,068,171,153.78 = 364,591,197,116.14/x - Step 3: Cross multiply
673,237,442,215.48x = 929,068,171,153.78 × 364,591,197,116.14 - Step 4: Simplify right side
673,237,442,215.48x = 338,730,076,723,459,502,637,056 - Step 5: Solve for x
x = 338,730,076,723,459,502,637,056/673,237,442,215.48 - Step 6: Final answer
x = 503,136,123,280.33
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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.