Finding the Fourth Proportional to 788,235,612,156.24, 1,182,355,355,779.60 and 222,276,265,005.42
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Solution
The fourth proportional to 788,235,612,156.24, 1,182,355,355,779.60 and 222,276,265,005.42 is: 333,414,943,880.70
Step by Step Solution
- Step 1: Write the proportion equation
788,235,612,156.24 : 1,182,355,355,779.60 = 222,276,265,005.42 : x - Step 2: Convert to fraction form
788,235,612,156.24/1,182,355,355,779.60 = 222,276,265,005.42/x - Step 3: Cross multiply
788,235,612,156.24x = 1,182,355,355,779.60 × 222,276,265,005.42 - Step 4: Simplify right side
788,235,612,156.24x = 262,809,532,391,844,038,574,080 - Step 5: Solve for x
x = 262,809,532,391,844,038,574,080/788,235,612,156.24 - Step 6: Final answer
x = 333,414,943,880.70
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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.