Finding the Fourth Proportional to 765,221,967,369.98, 1,056,006,274,584.50 and 413,254,865,373.21
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Solution
The fourth proportional to 765,221,967,369.98, 1,056,006,274,584.50 and 413,254,865,373.21 is: 570,291,692,404.70
Step by Step Solution
- Step 1: Write the proportion equation
765,221,967,369.98 : 1,056,006,274,584.50 = 413,254,865,373.21 : x - Step 2: Convert to fraction form
765,221,967,369.98/1,056,006,274,584.50 = 413,254,865,373.21/x - Step 3: Cross multiply
765,221,967,369.98x = 1,056,006,274,584.50 × 413,254,865,373.21 - Step 4: Simplify right side
765,221,967,369.98x = 436,399,730,836,682,590,650,368 - Step 5: Solve for x
x = 436,399,730,836,682,590,650,368/765,221,967,369.98 - Step 6: Final answer
x = 570,291,692,404.70
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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.