Finding the Fourth Proportional to 316,409,908,216.16, 436,683,106,473.54 and 187,951,864,356.11
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Solution
The fourth proportional to 316,409,908,216.16, 436,683,106,473.54 and 187,951,864,356.11 is: 259,395,808,611.81
Step by Step Solution
- Step 1: Write the proportion equation
316,409,908,216.16 : 436,683,106,473.54 = 187,951,864,356.11 : x - Step 2: Convert to fraction form
316,409,908,216.16/436,683,106,473.54 = 187,951,864,356.11/x - Step 3: Cross multiply
316,409,908,216.16x = 436,683,106,473.54 × 187,951,864,356.11 - Step 4: Simplify right side
316,409,908,216.16x = 82,075,403,994,519,524,343,808 - Step 5: Solve for x
x = 82,075,403,994,519,524,343,808/316,409,908,216.16 - Step 6: Final answer
x = 259,395,808,611.81
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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.