Finding the Fourth Proportional to 7,756,879,776,184.70, 10,702,718,659,259 and 4,631,205,062,609.30
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Solution
The fourth proportional to 7,756,879,776,184.70, 10,702,718,659,259 and 4,631,205,062,609.30 is: 6,390,002,973,956.51
Step by Step Solution
- Step 1: Write the proportion equation
7,756,879,776,184.70 : 10,702,718,659,259 = 4,631,205,062,609.30 : x - Step 2: Convert to fraction form
7,756,879,776,184.70/10,702,718,659,259 = 4,631,205,062,609.30/x - Step 3: Cross multiply
7,756,879,776,184.70x = 10,702,718,659,259 × 4,631,205,062,609.30 - Step 4: Simplify right side
7,756,879,776,184.70x = 49,566,484,838,443,301,264,687,104 - Step 5: Solve for x
x = 49,566,484,838,443,301,264,687,104/7,756,879,776,184.70 - Step 6: Final answer
x = 6,390,002,973,956.51
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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.