Finding the Fourth Proportional to 5,742,128,534,857.10, 7,924,161,252,539.90 and 3,105,352,840,167
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Solution
The fourth proportional to 5,742,128,534,857.10, 7,924,161,252,539.90 and 3,105,352,840,167 is: 4,285,399,830,766.49
Step by Step Solution
- Step 1: Write the proportion equation
5,742,128,534,857.10 : 7,924,161,252,539.90 = 3,105,352,840,167 : x - Step 2: Convert to fraction form
5,742,128,534,857.10/7,924,161,252,539.90 = 3,105,352,840,167/x - Step 3: Cross multiply
5,742,128,534,857.10x = 7,924,161,252,539.90 × 3,105,352,840,167 - Step 4: Simplify right side
5,742,128,534,857.10x = 24,607,316,651,516,072,103,510,016 - Step 5: Solve for x
x = 24,607,316,651,516,072,103,510,016/5,742,128,534,857.10 - Step 6: Final answer
x = 4,285,399,830,766.49
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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.