Finding the Fourth Proportional to 249,743,643,033.04, 344,637,310,128.24 and 141,354,413,156.18
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Solution
The fourth proportional to 249,743,643,033.04, 344,637,310,128.24 and 141,354,413,156.18 is: 195,064,043,005.32
Step by Step Solution
- Step 1: Write the proportion equation
249,743,643,033.04 : 344,637,310,128.24 = 141,354,413,156.18 : x - Step 2: Convert to fraction form
249,743,643,033.04/344,637,310,128.24 = 141,354,413,156.18/x - Step 3: Cross multiply
249,743,643,033.04x = 344,637,310,128.24 × 141,354,413,156.18 - Step 4: Simplify right side
249,743,643,033.04x = 48,716,004,724,901,773,574,144 - Step 5: Solve for x
x = 48,716,004,724,901,773,574,144/249,743,643,033.04 - Step 6: Final answer
x = 195,064,043,005.32
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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.