Finding the Fourth Proportional to 42,244,653,626,766, 63,366,901,347,564 and 13,236,884,166,678
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Solution
The fourth proportional to 42,244,653,626,766, 63,366,901,347,564 and 13,236,884,166,678 is: 19,855,301,467,250.51
Step by Step Solution
- Step 1: Write the proportion equation
42,244,653,626,766 : 63,366,901,347,564 = 13,236,884,166,678 : x - Step 2: Convert to fraction form
42,244,653,626,766/63,366,901,347,564 = 13,236,884,166,678/x - Step 3: Cross multiply
42,244,653,626,766x = 63,366,901,347,564 × 13,236,884,166,678 - Step 4: Simplify right side
42,244,653,626,766x = 838,780,333,139,016,683,626,692,608 - Step 5: Solve for x
x = 838,780,333,139,016,683,626,692,608/42,244,653,626,766 - Step 6: Final answer
x = 19,855,301,467,250.51
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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.