Finding the Fourth Proportional to 7,970,937,828,462.80, 11,956,406,771,382 and 2,240,569,405,908.20
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Solution
The fourth proportional to 7,970,937,828,462.80, 11,956,406,771,382 and 2,240,569,405,908.20 is: 3,360,854,116,926.22
Step by Step Solution
- Step 1: Write the proportion equation
7,970,937,828,462.80 : 11,956,406,771,382 = 2,240,569,405,908.20 : x - Step 2: Convert to fraction form
7,970,937,828,462.80/11,956,406,771,382 = 2,240,569,405,908.20/x - Step 3: Cross multiply
7,970,937,828,462.80x = 11,956,406,771,382 × 2,240,569,405,908.20 - Step 4: Simplify right side
7,970,937,828,462.80x = 26,789,159,216,552,150,329,982,976 - Step 5: Solve for x
x = 26,789,159,216,552,150,329,982,976/7,970,937,828,462.80 - Step 6: Final answer
x = 3,360,854,116,926.22
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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.