Finding the Fourth Proportional to 75,046,721,832.76, 103,564,099,753.26 and 40,752,122,048.44
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Solution
The fourth proportional to 75,046,721,832.76, 103,564,099,753.26 and 40,752,122,048.44 is: 56,237,724,045.92
Step by Step Solution
- Step 1: Write the proportion equation
75,046,721,832.76 : 103,564,099,753.26 = 40,752,122,048.44 : x - Step 2: Convert to fraction form
75,046,721,832.76/103,564,099,753.26 = 40,752,122,048.44/x - Step 3: Cross multiply
75,046,721,832.76x = 103,564,099,753.26 × 40,752,122,048.44 - Step 4: Simplify right side
75,046,721,832.76x = 4,220,456,832,981,666,365,440 - Step 5: Solve for x
x = 4,220,456,832,981,666,365,440/75,046,721,832.76 - Step 6: Final answer
x = 56,237,724,045.92
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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.