Finding the Fourth Proportional to 4,743,406,130,153, 6,546,038,542,008.40 and 2,688,000,964,632
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Solution
The fourth proportional to 4,743,406,130,153, 6,546,038,542,008.40 and 2,688,000,964,632 is: 3,709,519,579,945.66
Step by Step Solution
- Step 1: Write the proportion equation
4,743,406,130,153 : 6,546,038,542,008.40 = 2,688,000,964,632 : x - Step 2: Convert to fraction form
4,743,406,130,153/6,546,038,542,008.40 = 2,688,000,964,632/x - Step 3: Cross multiply
4,743,406,130,153x = 6,546,038,542,008.40 × 2,688,000,964,632 - Step 4: Simplify right side
4,743,406,130,153x = 17,595,757,915,436,830,200,692,736 - Step 5: Solve for x
x = 17,595,757,915,436,830,200,692,736/4,743,406,130,153 - Step 6: Final answer
x = 3,709,519,579,945.66
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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.