Finding the Fourth Proportional to 743,557,588,562.02, 1,115,845,852,827.70 and 259,511,808,762.90
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Solution
The fourth proportional to 743,557,588,562.02, 1,115,845,852,827.70 and 259,511,808,762.90 is: 389,445,525,164.92
Step by Step Solution
- Step 1: Write the proportion equation
743,557,588,562.02 : 1,115,845,852,827.70 = 259,511,808,762.90 : x - Step 2: Convert to fraction form
743,557,588,562.02/1,115,845,852,827.70 = 259,511,808,762.90/x - Step 3: Cross multiply
743,557,588,562.02x = 1,115,845,852,827.70 × 259,511,808,762.90 - Step 4: Simplify right side
743,557,588,562.02x = 289,575,175,567,897,119,424,512 - Step 5: Solve for x
x = 289,575,175,567,897,119,424,512/743,557,588,562.02 - Step 6: Final answer
x = 389,445,525,164.92
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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.