Finding the Fourth Proportional to 849,287,656,900.60, 1,172,016,921,700 and 458,654,183,066
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Solution
The fourth proportional to 849,287,656,900.60, 1,172,016,921,700 and 458,654,183,066 is: 632,942,748,424.70
Step by Step Solution
- Step 1: Write the proportion equation
849,287,656,900.60 : 1,172,016,921,700 = 458,654,183,066 : x - Step 2: Convert to fraction form
849,287,656,900.60/1,172,016,921,700 = 458,654,183,066/x - Step 3: Cross multiply
849,287,656,900.60x = 1,172,016,921,700 × 458,654,183,066 - Step 4: Simplify right side
849,287,656,900.60x = 537,550,463,761,841,609,768,960 - Step 5: Solve for x
x = 537,550,463,761,841,609,768,960/849,287,656,900.60 - Step 6: Final answer
x = 632,942,748,424.70
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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.