Finding the Fourth Proportional to 2,840,753,201,405.70, 4,261,756,562,249.70 and 828,600,233,232.96
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Solution
The fourth proportional to 2,840,753,201,405.70, 4,261,756,562,249.70 and 828,600,233,232.96 is: 1,243,083,165,307.99
Step by Step Solution
- Step 1: Write the proportion equation
2,840,753,201,405.70 : 4,261,756,562,249.70 = 828,600,233,232.96 : x - Step 2: Convert to fraction form
2,840,753,201,405.70/4,261,756,562,249.70 = 828,600,233,232.96/x - Step 3: Cross multiply
2,840,753,201,405.70x = 4,261,756,562,249.70 × 828,600,233,232.96 - Step 4: Simplify right side
2,840,753,201,405.70x = 3,531,292,481,462,199,417,569,280 - Step 5: Solve for x
x = 3,531,292,481,462,199,417,569,280/2,840,753,201,405.70 - Step 6: Final answer
x = 1,243,083,165,307.99
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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.