Finding the Fourth Proportional to 151,353,221,442.42, 208,769,029,837.10 and 97,073,794,899.34
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Solution
The fourth proportional to 151,353,221,442.42, 208,769,029,837.10 and 97,073,794,899.34 is: 133,898,715,802.70
Step by Step Solution
- Step 1: Write the proportion equation
151,353,221,442.42 : 208,769,029,837.10 = 97,073,794,899.34 : x - Step 2: Convert to fraction form
151,353,221,442.42/208,769,029,837.10 = 97,073,794,899.34/x - Step 3: Cross multiply
151,353,221,442.42x = 208,769,029,837.10 × 97,073,794,899.34 - Step 4: Simplify right side
151,353,221,442.42x = 20,266,001,983,741,674,651,648 - Step 5: Solve for x
x = 20,266,001,983,741,674,651,648/151,353,221,442.42 - Step 6: Final answer
x = 133,898,715,802.70
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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.