Finding the Fourth Proportional to 3,830,217,982.98, 5,745,122,669.98 and 1,032,141,602.76
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Solution
The fourth proportional to 3,830,217,982.98, 5,745,122,669.98 and 1,032,141,602.76 is: 1,548,157,349.53
Step by Step Solution
- Step 1: Write the proportion equation
3,830,217,982.98 : 5,745,122,669.98 = 1,032,141,602.76 : x - Step 2: Convert to fraction form
3,830,217,982.98/5,745,122,669.98 = 1,032,141,602.76/x - Step 3: Cross multiply
3,830,217,982.98x = 5,745,122,669.98 × 1,032,141,602.76 - Step 4: Simplify right side
3,830,217,982.98x = 5,929,780,120,645,966,848 - Step 5: Solve for x
x = 5,929,780,120,645,966,848/3,830,217,982.98 - Step 6: Final answer
x = 1,548,157,349.53
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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.