Finding the Fourth Proportional to 856,568,896,943.25, 1,284,580,752,890.70 and 282,778,173,739.99
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Solution
The fourth proportional to 856,568,896,943.25, 1,284,580,752,890.70 and 282,778,173,739.99 is: 424,077,269,931.55
Step by Step Solution
- Step 1: Write the proportion equation
856,568,896,943.25 : 1,284,580,752,890.70 = 282,778,173,739.99 : x - Step 2: Convert to fraction form
856,568,896,943.25/1,284,580,752,890.70 = 282,778,173,739.99/x - Step 3: Cross multiply
856,568,896,943.25x = 1,284,580,752,890.70 × 282,778,173,739.99 - Step 4: Simplify right side
856,568,896,943.25x = 363,251,399,323,973,522,030,592 - Step 5: Solve for x
x = 363,251,399,323,973,522,030,592/856,568,896,943.25 - Step 6: Final answer
x = 424,077,269,931.55
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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.