Finding the Fourth Proportional to 456,490,643,725.68, 684,140,306,599.44 and 255,024,241,035.96
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Solution
The fourth proportional to 456,490,643,725.68, 684,140,306,599.44 and 255,024,241,035.96 is: 382,203,589,165.95
Step by Step Solution
- Step 1: Write the proportion equation
456,490,643,725.68 : 684,140,306,599.44 = 255,024,241,035.96 : x - Step 2: Convert to fraction form
456,490,643,725.68/684,140,306,599.44 = 255,024,241,035.96/x - Step 3: Cross multiply
456,490,643,725.68x = 684,140,306,599.44 × 255,024,241,035.96 - Step 4: Simplify right side
456,490,643,725.68x = 174,472,362,452,631,137,812,480 - Step 5: Solve for x
x = 174,472,362,452,631,137,812,480/456,490,643,725.68 - Step 6: Final answer
x = 382,203,589,165.95
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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.