Finding the Fourth Proportional to 13,684,342,288,195, 18,886,011,295,115 and 8,128,688,700,384
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Solution
The fourth proportional to 13,684,342,288,195, 18,886,011,295,115 and 8,128,688,700,384 is: 11,218,552,077,753.92
Step by Step Solution
- Step 1: Write the proportion equation
13,684,342,288,195 : 18,886,011,295,115 = 8,128,688,700,384 : x - Step 2: Convert to fraction form
13,684,342,288,195/18,886,011,295,115 = 8,128,688,700,384/x - Step 3: Cross multiply
13,684,342,288,195x = 18,886,011,295,115 × 8,128,688,700,384 - Step 4: Simplify right side
13,684,342,288,195x = 153,518,506,609,925,889,577,713,664 - Step 5: Solve for x
x = 153,518,506,609,925,889,577,713,664/13,684,342,288,195 - Step 6: Final answer
x = 11,218,552,077,753.92
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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.