Finding the Fourth Proportional to 97,956,115,654.92, 135,170,817,614.63 and 54,549,120,504.34
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Solution
The fourth proportional to 97,956,115,654.92, 135,170,817,614.63 and 54,549,120,504.34 is: 75,272,984,942.62
Step by Step Solution
- Step 1: Write the proportion equation
97,956,115,654.92 : 135,170,817,614.63 = 54,549,120,504.34 : x - Step 2: Convert to fraction form
97,956,115,654.92/135,170,817,614.63 = 54,549,120,504.34/x - Step 3: Cross multiply
97,956,115,654.92x = 135,170,817,614.63 × 54,549,120,504.34 - Step 4: Simplify right side
97,956,115,654.92x = 7,373,449,218,730,615,635,968 - Step 5: Solve for x
x = 7,373,449,218,730,615,635,968/97,956,115,654.92 - Step 6: Final answer
x = 75,272,984,942.62
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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.