Finding the Fourth Proportional to 894,659,365,877.34, 1,341,994,065,684.70 and 298,417,596,468.06
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Solution
The fourth proportional to 894,659,365,877.34, 1,341,994,065,684.70 and 298,417,596,468.06 is: 447,628,068,100.88
Step by Step Solution
- Step 1: Write the proportion equation
894,659,365,877.34 : 1,341,994,065,684.70 = 298,417,596,468.06 : x - Step 2: Convert to fraction form
894,659,365,877.34/1,341,994,065,684.70 = 298,417,596,468.06/x - Step 3: Cross multiply
894,659,365,877.34x = 1,341,994,065,684.70 × 298,417,596,468.06 - Step 4: Simplify right side
894,659,365,877.34x = 400,474,643,556,028,014,133,248 - Step 5: Solve for x
x = 400,474,643,556,028,014,133,248/894,659,365,877.34 - Step 6: Final answer
x = 447,628,068,100.88
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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.