Finding the Fourth Proportional to 46,737,648,998,116, 70,117,243,948,952 and 16,175,684,437,037
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Solution
The fourth proportional to 46,737,648,998,116, 70,117,243,948,952 and 16,175,684,437,037 is: 24,267,254,259,167.14
Step by Step Solution
- Step 1: Write the proportion equation
46,737,648,998,116 : 70,117,243,948,952 = 16,175,684,437,037 : x - Step 2: Convert to fraction form
46,737,648,998,116/70,117,243,948,952 = 16,175,684,437,037/x - Step 3: Cross multiply
46,737,648,998,116x = 70,117,243,948,952 × 16,175,684,437,037 - Step 4: Simplify right side
46,737,648,998,116x = 1,134,194,411,712,989,586,622,775,296 - Step 5: Solve for x
x = 1,134,194,411,712,989,586,622,775,296/46,737,648,998,116 - Step 6: Final answer
x = 24,267,254,259,167.14
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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.