Finding the Fourth Proportional to 74,237,767,302.81, 102,448,113,196.54 and 40,405,304,992.53
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Solution
The fourth proportional to 74,237,767,302.81, 102,448,113,196.54 and 40,405,304,992.53 is: 55,759,317,797.52
Step by Step Solution
- Step 1: Write the proportion equation
74,237,767,302.81 : 102,448,113,196.54 = 40,405,304,992.53 : x - Step 2: Convert to fraction form
74,237,767,302.81/102,448,113,196.54 = 40,405,304,992.53/x - Step 3: Cross multiply
74,237,767,302.81x = 102,448,113,196.54 × 40,405,304,992.53 - Step 4: Simplify right side
74,237,767,302.81x = 4,139,447,259,615,435,685,888 - Step 5: Solve for x
x = 4,139,447,259,615,435,685,888/74,237,767,302.81 - Step 6: Final answer
x = 55,759,317,797.52
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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.