Finding the Fourth Proportional to 9,184,637,503.20, 12,678,717,632.88 and 6,175,634,306.40
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Solution
The fourth proportional to 9,184,637,503.20, 12,678,717,632.88 and 6,175,634,306.40 is: 8,525,009,674.85
Step by Step Solution
- Step 1: Write the proportion equation
9,184,637,503.20 : 12,678,717,632.88 = 6,175,634,306.40 : x - Step 2: Convert to fraction form
9,184,637,503.20/12,678,717,632.88 = 6,175,634,306.40/x - Step 3: Cross multiply
9,184,637,503.20x = 12,678,717,632.88 × 6,175,634,306.40 - Step 4: Simplify right side
9,184,637,503.20x = 78,299,123,574,772,318,208 - Step 5: Solve for x
x = 78,299,123,574,772,318,208/9,184,637,503.20 - Step 6: Final answer
x = 8,525,009,674.85
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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.