Finding the Fourth Proportional to 942,533,085,279.15, 1,413,799,646,602.20 and 226,237,032,409.11
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Solution
The fourth proportional to 942,533,085,279.15, 1,413,799,646,602.20 and 226,237,032,409.11 is: 339,355,553,098.28
Step by Step Solution
- Step 1: Write the proportion equation
942,533,085,279.15 : 1,413,799,646,602.20 = 226,237,032,409.11 : x - Step 2: Convert to fraction form
942,533,085,279.15/1,413,799,646,602.20 = 226,237,032,409.11/x - Step 3: Cross multiply
942,533,085,279.15x = 1,413,799,646,602.20 × 226,237,032,409.11 - Step 4: Simplify right side
942,533,085,279.15x = 319,853,836,468,330,183,000,064 - Step 5: Solve for x
x = 319,853,836,468,330,183,000,064/942,533,085,279.15 - Step 6: Final answer
x = 339,355,553,098.28
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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.