Finding the Fourth Proportional to 1,712,450,466,781.60, 2,363,226,432,418.40 and 931,229,284,937.14
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Solution
The fourth proportional to 1,712,450,466,781.60, 2,363,226,432,418.40 and 931,229,284,937.14 is: 1,285,120,769,035.48
Step by Step Solution
- Step 1: Write the proportion equation
1,712,450,466,781.60 : 2,363,226,432,418.40 = 931,229,284,937.14 : x - Step 2: Convert to fraction form
1,712,450,466,781.60/2,363,226,432,418.40 = 931,229,284,937.14/x - Step 3: Cross multiply
1,712,450,466,781.60x = 2,363,226,432,418.40 × 931,229,284,937.14 - Step 4: Simplify right side
1,712,450,466,781.60x = 2,200,705,660,805,534,921,523,200 - Step 5: Solve for x
x = 2,200,705,660,805,534,921,523,200/1,712,450,466,781.60 - Step 6: Final answer
x = 1,285,120,769,035.48
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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.