Finding the Fourth Proportional to 29,577,319,507,988, 40,816,748,938,008 and 16,408,311,166,972
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Solution
The fourth proportional to 29,577,319,507,988, 40,816,748,938,008 and 16,408,311,166,972 is: 22,643,496,048,319.49
Step by Step Solution
- Step 1: Write the proportion equation
29,577,319,507,988 : 40,816,748,938,008 = 16,408,311,166,972 : x - Step 2: Convert to fraction form
29,577,319,507,988/40,816,748,938,008 = 16,408,311,166,972/x - Step 3: Cross multiply
29,577,319,507,988x = 40,816,748,938,008 × 16,408,311,166,972 - Step 4: Simplify right side
29,577,319,507,988x = 669,733,917,399,009,253,109,268,480 - Step 5: Solve for x
x = 669,733,917,399,009,253,109,268,480/29,577,319,507,988 - Step 6: Final answer
x = 22,643,496,048,319.49
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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.