Finding the Fourth Proportional to 135,523,458,199.98, 187,290,708,462.58 and 111,070,299,543.81
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Solution
The fourth proportional to 135,523,458,199.98, 187,290,708,462.58 and 111,070,299,543.81 is: 153,496,932,317.17
Step by Step Solution
- Step 1: Write the proportion equation
135,523,458,199.98 : 187,290,708,462.58 = 111,070,299,543.81 : x - Step 2: Convert to fraction form
135,523,458,199.98/187,290,708,462.58 = 111,070,299,543.81/x - Step 3: Cross multiply
135,523,458,199.98x = 187,290,708,462.58 × 111,070,299,543.81 - Step 4: Simplify right side
135,523,458,199.98x = 20,802,435,090,711,150,854,144 - Step 5: Solve for x
x = 20,802,435,090,711,150,854,144/135,523,458,199.98 - Step 6: Final answer
x = 153,496,932,317.17
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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.