Finding the Fourth Proportional to 698,164,006,287.09, 1,047,246,009,430.60 and 698,164,006,287.09
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Solution
The fourth proportional to 698,164,006,287.09, 1,047,246,009,430.60 and 698,164,006,287.09 is: 1,047,246,009,430.60
Step by Step Solution
- Step 1: Write the proportion equation
698,164,006,287.09 : 1,047,246,009,430.60 = 698,164,006,287.09 : x - Step 2: Convert to fraction form
698,164,006,287.09/1,047,246,009,430.60 = 698,164,006,287.09/x - Step 3: Cross multiply
698,164,006,287.09x = 1,047,246,009,430.60 × 698,164,006,287.09 - Step 4: Simplify right side
698,164,006,287.09x = 731,149,469,512,235,252,449,280 - Step 5: Solve for x
x = 731,149,469,512,235,252,449,280/698,164,006,287.09 - Step 6: Final answer
x = 1,047,246,009,430.60
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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.