Finding the Fourth Proportional to 14,198,355,955.84, 19,593,142,590.72 and 7,768,144,387.84
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Solution
The fourth proportional to 14,198,355,955.84, 19,593,142,590.72 and 7,768,144,387.84 is: 10,719,717,207.37
Step by Step Solution
- Step 1: Write the proportion equation
14,198,355,955.84 : 19,593,142,590.72 = 7,768,144,387.84 : x - Step 2: Convert to fraction form
14,198,355,955.84/19,593,142,590.72 = 7,768,144,387.84/x - Step 3: Cross multiply
14,198,355,955.84x = 19,593,142,590.72 × 7,768,144,387.84 - Step 4: Simplify right side
14,198,355,955.84x = 152,202,360,656,250,470,400 - Step 5: Solve for x
x = 152,202,360,656,250,470,400/14,198,355,955.84 - Step 6: Final answer
x = 10,719,717,207.37
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1.5x scale
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.