Finding the Fourth Proportional to 441,464,698,569.98, 662,197,047,112.08 and 106,079,623,998.75
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Solution
The fourth proportional to 441,464,698,569.98, 662,197,047,112.08 and 106,079,623,998.75 is: 159,119,435,819.62
Step by Step Solution
- Step 1: Write the proportion equation
441,464,698,569.98 : 662,197,047,112.08 = 106,079,623,998.75 : x - Step 2: Convert to fraction form
441,464,698,569.98/662,197,047,112.08 = 106,079,623,998.75/x - Step 3: Cross multiply
441,464,698,569.98x = 662,197,047,112.08 × 106,079,623,998.75 - Step 4: Simplify right side
441,464,698,569.98x = 70,245,613,770,731,977,441,280 - Step 5: Solve for x
x = 70,245,613,770,731,977,441,280/441,464,698,569.98 - Step 6: Final answer
x = 159,119,435,819.62
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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.