Finding the Fourth Proportional to 405,455,119,120.02, 559,528,618,467.30 and 220,056,830,946.70
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Solution
The fourth proportional to 405,455,119,120.02, 559,528,618,467.30 and 220,056,830,946.70 is: 303,678,727,428.90
Step by Step Solution
- Step 1: Write the proportion equation
405,455,119,120.02 : 559,528,618,467.30 = 220,056,830,946.70 : x - Step 2: Convert to fraction form
405,455,119,120.02/559,528,618,467.30 = 220,056,830,946.70/x - Step 3: Cross multiply
405,455,119,120.02x = 559,528,618,467.30 × 220,056,830,946.70 - Step 4: Simplify right side
405,455,119,120.02x = 123,128,094,603,899,249,360,896 - Step 5: Solve for x
x = 123,128,094,603,899,249,360,896/405,455,119,120.02 - Step 6: Final answer
x = 303,678,727,428.90
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1.5x scale
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.