Finding the Fourth Proportional to 827,453,637,149.30, 1,241,180,455,724 and 827,453,637,149.30
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Solution
The fourth proportional to 827,453,637,149.30, 1,241,180,455,724 and 827,453,637,149.30 is: 1,241,180,455,724
Step by Step Solution
- Step 1: Write the proportion equation
827,453,637,149.30 : 1,241,180,455,724 = 827,453,637,149.30 : x - Step 2: Convert to fraction form
827,453,637,149.30/1,241,180,455,724 = 827,453,637,149.30/x - Step 3: Cross multiply
827,453,637,149.30x = 1,241,180,455,724 × 827,453,637,149.30 - Step 4: Simplify right side
827,453,637,149.30x = 1,027,019,282,447,449,509,068,800 - Step 5: Solve for x
x = 1,027,019,282,447,449,509,068,800/827,453,637,149.30 - Step 6: Final answer
x = 1,241,180,455,724
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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.