Finding the Fourth Proportional to 596,670,588,922.45, 823,558,615,368.63 and 388,615,964,909.05
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Solution
The fourth proportional to 596,670,588,922.45, 823,558,615,368.63 and 388,615,964,909.05 is: 536,389,813,596.52
Step by Step Solution
- Step 1: Write the proportion equation
596,670,588,922.45 : 823,558,615,368.63 = 388,615,964,909.05 : x - Step 2: Convert to fraction form
596,670,588,922.45/823,558,615,368.63 = 388,615,964,909.05/x - Step 3: Cross multiply
596,670,588,922.45x = 823,558,615,368.63 × 388,615,964,909.05 - Step 4: Simplify right side
596,670,588,922.45x = 320,048,025,970,641,299,570,688 - Step 5: Solve for x
x = 320,048,025,970,641,299,570,688/596,670,588,922.45 - Step 6: Final answer
x = 536,389,813,596.52
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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.