Finding the Fourth Proportional to 2,106,417,510.86, 3,159,834,906.09 and 778,793,649.62
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Solution
The fourth proportional to 2,106,417,510.86, 3,159,834,906.09 and 778,793,649.62 is: 1,168,267,613.63
Step by Step Solution
- Step 1: Write the proportion equation
2,106,417,510.86 : 3,159,834,906.09 = 778,793,649.62 : x - Step 2: Convert to fraction form
2,106,417,510.86/3,159,834,906.09 = 778,793,649.62/x - Step 3: Cross multiply
2,106,417,510.86x = 3,159,834,906.09 × 778,793,649.62 - Step 4: Simplify right side
2,106,417,510.86x = 2,460,859,358,710,501,376 - Step 5: Solve for x
x = 2,460,859,358,710,501,376/2,106,417,510.86 - Step 6: Final answer
x = 1,168,267,613.63
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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.