Finding the Fourth Proportional to 1,580,406,201,437.40, 2,180,960,557,772.20 and 895,293,927,397.14
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Solution
The fourth proportional to 1,580,406,201,437.40, 2,180,960,557,772.20 and 895,293,927,397.14 is: 1,235,505,619,688.29
Step by Step Solution
- Step 1: Write the proportion equation
1,580,406,201,437.40 : 2,180,960,557,772.20 = 895,293,927,397.14 : x - Step 2: Convert to fraction form
1,580,406,201,437.40/2,180,960,557,772.20 = 895,293,927,397.14/x - Step 3: Cross multiply
1,580,406,201,437.40x = 2,180,960,557,772.20 × 895,293,927,397.14 - Step 4: Simplify right side
1,580,406,201,437.40x = 1,952,600,743,266,130,090,524,672 - Step 5: Solve for x
x = 1,952,600,743,266,130,090,524,672/1,580,406,201,437.40 - Step 6: Final answer
x = 1,235,505,619,688.29
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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.