Finding the Fourth Proportional to 785,266,358,539.26, 1,177,802,046,948.30 and 211,627,348,484.14
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Solution
The fourth proportional to 785,266,358,539.26, 1,177,802,046,948.30 and 211,627,348,484.14 is: 317,414,749,179.53
Step by Step Solution
- Step 1: Write the proportion equation
785,266,358,539.26 : 1,177,802,046,948.30 = 211,627,348,484.14 : x - Step 2: Convert to fraction form
785,266,358,539.26/1,177,802,046,948.30 = 211,627,348,484.14/x - Step 3: Cross multiply
785,266,358,539.26x = 1,177,802,046,948.30 × 211,627,348,484.14 - Step 4: Simplify right side
785,266,358,539.26x = 249,255,124,234,861,321,125,888 - Step 5: Solve for x
x = 249,255,124,234,861,321,125,888/785,266,358,539.26 - Step 6: Final answer
x = 317,414,749,179.53
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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.