Finding the Fourth Proportional to 6,216,144,435,242.40, 8,577,703,644,213 and 3,438,246,878,610.90
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Solution
The fourth proportional to 6,216,144,435,242.40, 8,577,703,644,213 and 3,438,246,878,610.90 is: 4,744,462,276,834.89
Step by Step Solution
- Step 1: Write the proportion equation
6,216,144,435,242.40 : 8,577,703,644,213 = 3,438,246,878,610.90 : x - Step 2: Convert to fraction form
6,216,144,435,242.40/8,577,703,644,213 = 3,438,246,878,610.90/x - Step 3: Cross multiply
6,216,144,435,242.40x = 8,577,703,644,213 × 3,438,246,878,610.90 - Step 4: Simplify right side
6,216,144,435,242.40x = 29,492,262,780,364,687,994,257,408 - Step 5: Solve for x
x = 29,492,262,780,364,687,994,257,408/6,216,144,435,242.40 - Step 6: Final answer
x = 4,744,462,276,834.89
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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.