Finding the Fourth Proportional to 32,674,594,955,571, 49,020,488,915,613 and 11,742,320,552,090
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Solution
The fourth proportional to 32,674,594,955,571, 49,020,488,915,613 and 11,742,320,552,090 is: 17,616,570,159,476.78
Step by Step Solution
- Step 1: Write the proportion equation
32,674,594,955,571 : 49,020,488,915,613 = 11,742,320,552,090 : x - Step 2: Convert to fraction form
32,674,594,955,571/49,020,488,915,613 = 11,742,320,552,090/x - Step 3: Cross multiply
32,674,594,955,571x = 49,020,488,915,613 × 11,742,320,552,090 - Step 4: Simplify right side
32,674,594,955,571x = 575,614,294,467,302,600,214,577,152 - Step 5: Solve for x
x = 575,614,294,467,302,600,214,577,152/32,674,594,955,571 - Step 6: Final answer
x = 17,616,570,159,476.78
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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.