Finding the Fourth Proportional to 12,752,414,496,200, 19,128,621,744,298 and 12,752,414,496,200
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Solution
The fourth proportional to 12,752,414,496,200, 19,128,621,744,298 and 12,752,414,496,200 is: 19,128,621,744,298
Step by Step Solution
- Step 1: Write the proportion equation
12,752,414,496,200 : 19,128,621,744,298 = 12,752,414,496,200 : x - Step 2: Convert to fraction form
12,752,414,496,200/19,128,621,744,298 = 12,752,414,496,200/x - Step 3: Cross multiply
12,752,414,496,200x = 19,128,621,744,298 × 12,752,414,496,200 - Step 4: Simplify right side
12,752,414,496,200x = 243,936,113,224,312,352,086,687,744 - Step 5: Solve for x
x = 243,936,113,224,312,352,086,687,744/12,752,414,496,200 - Step 6: Final answer
x = 19,128,621,744,298
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.