Finding the Fourth Proportional to 849,989,680,283.92, 1,172,985,672,159.40 and 464,615,565,139.80
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Solution
The fourth proportional to 849,989,680,283.92, 1,172,985,672,159.40 and 464,615,565,139.80 is: 641,169,432,538.51
Step by Step Solution
- Step 1: Write the proportion equation
849,989,680,283.92 : 1,172,985,672,159.40 = 464,615,565,139.80 : x - Step 2: Convert to fraction form
849,989,680,283.92/1,172,985,672,159.40 = 464,615,565,139.80/x - Step 3: Cross multiply
849,989,680,283.92x = 1,172,985,672,159.40 × 464,615,565,139.80 - Step 4: Simplify right side
849,989,680,283.92x = 544,987,400,971,227,720,843,264 - Step 5: Solve for x
x = 544,987,400,971,227,720,843,264/849,989,680,283.92 - Step 6: Final answer
x = 641,169,432,538.51
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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.