Finding the Fourth Proportional to 110,369,929,257.93, 152,338,841,239.26 and 71,884,750,735.74
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Solution
The fourth proportional to 110,369,929,257.93, 152,338,841,239.26 and 71,884,750,735.74 is: 99,219,413,326.47
Step by Step Solution
- Step 1: Write the proportion equation
110,369,929,257.93 : 152,338,841,239.26 = 71,884,750,735.74 : x - Step 2: Convert to fraction form
110,369,929,257.93/152,338,841,239.26 = 71,884,750,735.74/x - Step 3: Cross multiply
110,369,929,257.93x = 152,338,841,239.26 × 71,884,750,735.74 - Step 4: Simplify right side
110,369,929,257.93x = 10,950,839,629,855,676,432,384 - Step 5: Solve for x
x = 10,950,839,629,855,676,432,384/110,369,929,257.93 - Step 6: Final answer
x = 99,219,413,326.47
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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.