Finding the Fourth Proportional to 14,597,037,591,875, 20,143,926,784,706 and 7,922,700,490,658
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Solution
The fourth proportional to 14,597,037,591,875, 20,143,926,784,706 and 7,922,700,490,658 is: 10,933,334,768,542.52
Step by Step Solution
- Step 1: Write the proportion equation
14,597,037,591,875 : 20,143,926,784,706 = 7,922,700,490,658 : x - Step 2: Convert to fraction form
14,597,037,591,875/20,143,926,784,706 = 7,922,700,490,658/x - Step 3: Cross multiply
14,597,037,591,875x = 20,143,926,784,706 × 7,922,700,490,658 - Step 4: Simplify right side
14,597,037,591,875x = 159,594,298,620,969,058,549,366,784 - Step 5: Solve for x
x = 159,594,298,620,969,058,549,366,784/14,597,037,591,875 - Step 6: Final answer
x = 10,933,334,768,542.52
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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.