Finding the Fourth Proportional to 860,402,879,822.34, 1,187,460,092,001.10 and 489,696,429,720
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Solution
The fourth proportional to 860,402,879,822.34, 1,187,460,092,001.10 and 489,696,429,720 is: 675,840,331,459.60
Step by Step Solution
- Step 1: Write the proportion equation
860,402,879,822.34 : 1,187,460,092,001.10 = 489,696,429,720 : x - Step 2: Convert to fraction form
860,402,879,822.34/1,187,460,092,001.10 = 489,696,429,720/x - Step 3: Cross multiply
860,402,879,822.34x = 1,187,460,092,001.10 × 489,696,429,720 - Step 4: Simplify right side
860,402,879,822.34x = 581,494,967,487,921,473,454,080 - Step 5: Solve for x
x = 581,494,967,487,921,473,454,080/860,402,879,822.34 - Step 6: Final answer
x = 675,840,331,459.60
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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.