Finding the Fourth Proportional to 4,377,935,689,684.80, 6,567,997,324,545 and 3,089,662,318,634.40
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Solution
The fourth proportional to 4,377,935,689,684.80, 6,567,997,324,545 and 3,089,662,318,634.40 is: 4,635,265,403,818.50
Step by Step Solution
- Step 1: Write the proportion equation
4,377,935,689,684.80 : 6,567,997,324,545 = 3,089,662,318,634.40 : x - Step 2: Convert to fraction form
4,377,935,689,684.80/6,567,997,324,545 = 3,089,662,318,634.40/x - Step 3: Cross multiply
4,377,935,689,684.80x = 6,567,997,324,545 × 3,089,662,318,634.40 - Step 4: Simplify right side
4,377,935,689,684.80x = 20,292,893,842,538,239,409,258,496 - Step 5: Solve for x
x = 20,292,893,842,538,239,409,258,496/4,377,935,689,684.80 - Step 6: Final answer
x = 4,635,265,403,818.50
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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.