Finding the Fourth Proportional to 3,232,533,537,053.40, 4,848,812,885,337.40 and 782,047,845,455.48
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Solution
The fourth proportional to 3,232,533,537,053.40, 4,848,812,885,337.40 and 782,047,845,455.48 is: 1,173,074,811,607.82
Step by Step Solution
- Step 1: Write the proportion equation
3,232,533,537,053.40 : 4,848,812,885,337.40 = 782,047,845,455.48 : x - Step 2: Convert to fraction form
3,232,533,537,053.40/4,848,812,885,337.40 = 782,047,845,455.48/x - Step 3: Cross multiply
3,232,533,537,053.40x = 4,848,812,885,337.40 × 782,047,845,455.48 - Step 4: Simplify right side
3,232,533,537,053.40x = 3,792,003,669,994,883,222,863,872 - Step 5: Solve for x
x = 3,792,003,669,994,883,222,863,872/3,232,533,537,053.40 - Step 6: Final answer
x = 1,173,074,811,607.82
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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.