Finding the Fourth Proportional to 881,253,438,289.10, 1,322,483,973,711.80 and 307,569,551,119.85
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Solution
The fourth proportional to 881,253,438,289.10, 1,322,483,973,711.80 and 307,569,551,119.85 is: 461,565,066,852.31
Step by Step Solution
- Step 1: Write the proportion equation
881,253,438,289.10 : 1,322,483,973,711.80 = 307,569,551,119.85 : x - Step 2: Convert to fraction form
881,253,438,289.10/1,322,483,973,711.80 = 307,569,551,119.85/x - Step 3: Cross multiply
881,253,438,289.10x = 1,322,483,973,711.80 × 307,569,551,119.85 - Step 4: Simplify right side
881,253,438,289.10x = 406,755,802,157,733,822,595,072 - Step 5: Solve for x
x = 406,755,802,157,733,822,595,072/881,253,438,289.10 - Step 6: Final answer
x = 461,565,066,852.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.