Finding the Fourth Proportional to 860,403,014,298.96, 1,187,460,277,279.60 and 489,696,564,115.68
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Solution
The fourth proportional to 860,403,014,298.96, 1,187,460,277,279.60 and 489,696,564,115.68 is: 675,840,516,762.33
Step by Step Solution
- Step 1: Write the proportion equation
860,403,014,298.96 : 1,187,460,277,279.60 = 489,696,564,115.68 : x - Step 2: Convert to fraction form
860,403,014,298.96/1,187,460,277,279.60 = 489,696,564,115.68/x - Step 3: Cross multiply
860,403,014,298.96x = 1,187,460,277,279.60 × 489,696,564,115.68 - Step 4: Simplify right side
860,403,014,298.96x = 581,495,217,807,672,832,163,840 - Step 5: Solve for x
x = 581,495,217,807,672,832,163,840/860,403,014,298.96 - Step 6: Final answer
x = 675,840,516,762.33
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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.