Finding the Fourth Proportional to 680,245,689,746.40, 1,020,368,534,619.60 and 209,081,153,119.20
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Solution
The fourth proportional to 680,245,689,746.40, 1,020,368,534,619.60 and 209,081,153,119.20 is: 313,621,729,678.80
Step by Step Solution
- Step 1: Write the proportion equation
680,245,689,746.40 : 1,020,368,534,619.60 = 209,081,153,119.20 : x - Step 2: Convert to fraction form
680,245,689,746.40/1,020,368,534,619.60 = 209,081,153,119.20/x - Step 3: Cross multiply
680,245,689,746.40x = 1,020,368,534,619.60 × 209,081,153,119.20 - Step 4: Simplify right side
680,245,689,746.40x = 213,339,829,824,814,321,762,304 - Step 5: Solve for x
x = 213,339,829,824,814,321,762,304/680,245,689,746.40 - Step 6: Final answer
x = 313,621,729,678.80
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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.