Finding the Fourth Proportional to 536,243,566,306.32, 804,447,999,167.04 and 182,833,430,634
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Solution
The fourth proportional to 536,243,566,306.32, 804,447,999,167.04 and 182,833,430,634 is: 274,278,325,551.70
Step by Step Solution
- Step 1: Write the proportion equation
536,243,566,306.32 : 804,447,999,167.04 = 182,833,430,634 : x - Step 2: Convert to fraction form
536,243,566,306.32/804,447,999,167.04 = 182,833,430,634/x - Step 3: Cross multiply
536,243,566,306.32x = 804,447,999,167.04 × 182,833,430,634 - Step 4: Simplify right side
536,243,566,306.32x = 147,079,987,454,367,106,072,576 - Step 5: Solve for x
x = 147,079,987,454,367,106,072,576/536,243,566,306.32 - Step 6: Final answer
x = 274,278,325,551.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.