Finding the Fourth Proportional to 746,612,393,296.70, 1,030,314,137,659.30 and 417,020,241,431.70
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Solution
The fourth proportional to 746,612,393,296.70, 1,030,314,137,659.30 and 417,020,241,431.70 is: 575,481,808,626.27
Step by Step Solution
- Step 1: Write the proportion equation
746,612,393,296.70 : 1,030,314,137,659.30 = 417,020,241,431.70 : x - Step 2: Convert to fraction form
746,612,393,296.70/1,030,314,137,659.30 = 417,020,241,431.70/x - Step 3: Cross multiply
746,612,393,296.70x = 1,030,314,137,659.30 × 417,020,241,431.70 - Step 4: Simplify right side
746,612,393,296.70x = 429,661,850,437,175,084,056,576 - Step 5: Solve for x
x = 429,661,850,437,175,084,056,576/746,612,393,296.70 - Step 6: Final answer
x = 575,481,808,626.27
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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.