Finding the Fourth Proportional to 416,278,232.64, 624,175,311.06 and 157,513,442.40
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Solution
The fourth proportional to 416,278,232.64, 624,175,311.06 and 157,513,442.40 is: 236,178,580.09
Step by Step Solution
- Step 1: Write the proportion equation
416,278,232.64 : 624,175,311.06 = 157,513,442.40 : x - Step 2: Convert to fraction form
416,278,232.64/624,175,311.06 = 157,513,442.40/x - Step 3: Cross multiply
416,278,232.64x = 624,175,311.06 × 157,513,442.40 - Step 4: Simplify right side
416,278,232.64x = 98,316,001,906,151,392 - Step 5: Solve for x
x = 98,316,001,906,151,392/416,278,232.64 - Step 6: Final answer
x = 236,178,580.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.