Finding the Fourth Proportional to 2,564,129,512.22, 3,538,609,316.93 and 1,419,695,607.23
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Solution
The fourth proportional to 2,564,129,512.22, 3,538,609,316.93 and 1,419,695,607.23 is: 1,959,241,168.98
Step by Step Solution
- Step 1: Write the proportion equation
2,564,129,512.22 : 3,538,609,316.93 = 1,419,695,607.23 : x - Step 2: Convert to fraction form
2,564,129,512.22/3,538,609,316.93 = 1,419,695,607.23/x - Step 3: Cross multiply
2,564,129,512.22x = 3,538,609,316.93 × 1,419,695,607.23 - Step 4: Simplify right side
2,564,129,512.22x = 5,023,748,102,923,880,448 - Step 5: Solve for x
x = 5,023,748,102,923,880,448/2,564,129,512.22 - Step 6: Final answer
x = 1,959,241,168.98
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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.