Finding the Fourth Proportional to 4,646,074,007,134, 6,411,602,062,926.90 and 2,534,317,618,683.50
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Solution
The fourth proportional to 4,646,074,007,134, 6,411,602,062,926.90 and 2,534,317,618,683.50 is: 3,497,369,186,782.84
Step by Step Solution
- Step 1: Write the proportion equation
4,646,074,007,134 : 6,411,602,062,926.90 = 2,534,317,618,683.50 : x - Step 2: Convert to fraction form
4,646,074,007,134/6,411,602,062,926.90 = 2,534,317,618,683.50/x - Step 3: Cross multiply
4,646,074,007,134x = 6,411,602,062,926.90 × 2,534,317,618,683.50 - Step 4: Simplify right side
4,646,074,007,134x = 16,249,036,072,063,118,914,617,344 - Step 5: Solve for x
x = 16,249,036,072,063,118,914,617,344/4,646,074,007,134 - Step 6: Final answer
x = 3,497,369,186,782.84
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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.