Finding the Fourth Proportional to 408,943,877,114.30, 613,415,815,671.45 and 389,417,884,468.70
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Solution
The fourth proportional to 408,943,877,114.30, 613,415,815,671.45 and 389,417,884,468.70 is: 584,126,826,703.05
Step by Step Solution
- Step 1: Write the proportion equation
408,943,877,114.30 : 613,415,815,671.45 = 389,417,884,468.70 : x - Step 2: Convert to fraction form
408,943,877,114.30/613,415,815,671.45 = 389,417,884,468.70/x - Step 3: Cross multiply
408,943,877,114.30x = 613,415,815,671.45 × 389,417,884,468.70 - Step 4: Simplify right side
408,943,877,114.30x = 238,875,089,238,418,088,001,536 - Step 5: Solve for x
x = 238,875,089,238,418,088,001,536/408,943,877,114.30 - Step 6: Final answer
x = 584,126,826,703.05
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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.