Finding the Fourth Proportional to 537,409,212,248.94, 741,620,304,684.98 and 293,538,836,533.74
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Solution
The fourth proportional to 537,409,212,248.94, 741,620,304,684.98 and 293,538,836,533.74 is: 405,081,186,598.99
Step by Step Solution
- Step 1: Write the proportion equation
537,409,212,248.94 : 741,620,304,684.98 = 293,538,836,533.74 : x - Step 2: Convert to fraction form
537,409,212,248.94/741,620,304,684.98 = 293,538,836,533.74/x - Step 3: Cross multiply
537,409,212,248.94x = 741,620,304,684.98 × 293,538,836,533.74 - Step 4: Simplify right side
537,409,212,248.94x = 217,694,361,387,026,773,704,704 - Step 5: Solve for x
x = 217,694,361,387,026,773,704,704/537,409,212,248.94 - Step 6: Final answer
x = 405,081,186,598.99
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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.