Finding the Fourth Proportional to 2,306,343,017,298.40, 3,457,092,827,116.80 and 775,988,019,829.44
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Solution
The fourth proportional to 2,306,343,017,298.40, 3,457,092,827,116.80 and 775,988,019,829.44 is: 1,163,167,229,314.98
Step by Step Solution
- Step 1: Write the proportion equation
2,306,343,017,298.40 : 3,457,092,827,116.80 = 775,988,019,829.44 : x - Step 2: Convert to fraction form
2,306,343,017,298.40/3,457,092,827,116.80 = 775,988,019,829.44/x - Step 3: Cross multiply
2,306,343,017,298.40x = 3,457,092,827,116.80 × 775,988,019,829.44 - Step 4: Simplify right side
2,306,343,017,298.40x = 2,682,662,617,280,925,904,404,480 - Step 5: Solve for x
x = 2,682,662,617,280,925,904,404,480/2,306,343,017,298.40 - Step 6: Final answer
x = 1,163,167,229,314.98
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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.