Finding the Fourth Proportional to 416,271,770.14, 624,165,628.10 and 157,506,947.14
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Solution
The fourth proportional to 416,271,770.14, 624,165,628.10 and 157,506,947.14 is: 236,168,843.63
Step by Step Solution
- Step 1: Write the proportion equation
416,271,770.14 : 624,165,628.10 = 157,506,947.14 : x - Step 2: Convert to fraction form
416,271,770.14/624,165,628.10 = 157,506,947.14/x - Step 3: Cross multiply
416,271,770.14x = 624,165,628.10 × 157,506,947.14 - Step 4: Simplify right side
416,271,770.14x = 98,310,422,589,024,528 - Step 5: Solve for x
x = 98,310,422,589,024,528/416,271,770.14 - Step 6: Final answer
x = 236,168,843.63
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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.