Finding the Fourth Proportional to 312,984,564,703.05, 469,476,847,054.55 and 312,984,564,703.05
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Solution
The fourth proportional to 312,984,564,703.05, 469,476,847,054.55 and 312,984,564,703.05 is: 469,476,847,054.55
Step by Step Solution
- Step 1: Write the proportion equation
312,984,564,703.05 : 469,476,847,054.55 = 312,984,564,703.05 : x - Step 2: Convert to fraction form
312,984,564,703.05/469,476,847,054.55 = 312,984,564,703.05/x - Step 3: Cross multiply
312,984,564,703.05x = 469,476,847,054.55 × 312,984,564,703.05 - Step 4: Simplify right side
312,984,564,703.05x = 146,939,006,613,528,701,304,832 - Step 5: Solve for x
x = 146,939,006,613,528,701,304,832/312,984,564,703.05 - Step 6: Final answer
x = 469,476,847,054.55
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1.5x scale
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.