Finding the Fourth Proportional to 477,107,118,053.06, 715,655,960,885.80 and 218,584,539,423.92
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Solution
The fourth proportional to 477,107,118,053.06, 715,655,960,885.80 and 218,584,539,423.92 is: 327,874,648,432.32
Step by Step Solution
- Step 1: Write the proportion equation
477,107,118,053.06 : 715,655,960,885.80 = 218,584,539,423.92 : x - Step 2: Convert to fraction form
477,107,118,053.06/715,655,960,885.80 = 218,584,539,423.92/x - Step 3: Cross multiply
477,107,118,053.06x = 715,655,960,885.80 × 218,584,539,423.92 - Step 4: Simplify right side
477,107,118,053.06x = 156,431,328,596,205,529,726,976 - Step 5: Solve for x
x = 156,431,328,596,205,529,726,976/477,107,118,053.06 - Step 6: Final answer
x = 327,874,648,432.32
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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.