Finding the Fourth Proportional to 1,171,264,906,823.70, 1,616,256,866,657.30 and 657,331,444,048.96
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Solution
The fourth proportional to 1,171,264,906,823.70, 1,616,256,866,657.30 and 657,331,444,048.96 is: 907,067,610,345.31
Step by Step Solution
- Step 1: Write the proportion equation
1,171,264,906,823.70 : 1,616,256,866,657.30 = 657,331,444,048.96 : x - Step 2: Convert to fraction form
1,171,264,906,823.70/1,616,256,866,657.30 = 657,331,444,048.96/x - Step 3: Cross multiply
1,171,264,906,823.70x = 1,616,256,866,657.30 × 657,331,444,048.96 - Step 4: Simplify right side
1,171,264,906,823.70x = 1,062,416,460,113,890,403,942,400 - Step 5: Solve for x
x = 1,062,416,460,113,890,403,942,400/1,171,264,906,823.70 - Step 6: Final answer
x = 907,067,610,345.31
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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.