Finding the Fourth Proportional to 4,646,074,007,134, 6,411,602,062,926.50 and 2,534,317,618,683.60
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Solution
The fourth proportional to 4,646,074,007,134, 6,411,602,062,926.50 and 2,534,317,618,683.60 is: 3,497,369,186,782.76
Step by Step Solution
- Step 1: Write the proportion equation
4,646,074,007,134 : 6,411,602,062,926.50 = 2,534,317,618,683.60 : x - Step 2: Convert to fraction form
4,646,074,007,134/6,411,602,062,926.50 = 2,534,317,618,683.60/x - Step 3: Cross multiply
4,646,074,007,134x = 6,411,602,062,926.50 × 2,534,317,618,683.60 - Step 4: Simplify right side
4,646,074,007,134x = 16,249,036,072,062,745,252,462,592 - Step 5: Solve for x
x = 16,249,036,072,062,745,252,462,592/4,646,074,007,134 - Step 6: Final answer
x = 3,497,369,186,782.76
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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.