Finding the Fourth Proportional to 1,615,950,702,992.10, 2,230,010,514,684.80 and 912,164,737,299.86
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Solution
The fourth proportional to 1,615,950,702,992.10, 2,230,010,514,684.80 and 912,164,737,299.86 is: 1,258,786,515,911.02
Step by Step Solution
- Step 1: Write the proportion equation
1,615,950,702,992.10 : 2,230,010,514,684.80 = 912,164,737,299.86 : x - Step 2: Convert to fraction form
1,615,950,702,992.10/2,230,010,514,684.80 = 912,164,737,299.86/x - Step 3: Cross multiply
1,615,950,702,992.10x = 2,230,010,514,684.80 × 912,164,737,299.86 - Step 4: Simplify right side
1,615,950,702,992.10x = 2,034,136,955,303,386,006,159,360 - Step 5: Solve for x
x = 2,034,136,955,303,386,006,159,360/1,615,950,702,992.10 - Step 6: Final answer
x = 1,258,786,515,911.02
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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.