Finding the Fourth Proportional to 2,306,343,017,298.90, 3,457,092,827,117.50 and 775,988,019,829.95
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Solution
The fourth proportional to 2,306,343,017,298.90, 3,457,092,827,117.50 and 775,988,019,829.95 is: 1,163,167,229,315.73
Step by Step Solution
- Step 1: Write the proportion equation
2,306,343,017,298.90 : 3,457,092,827,117.50 = 775,988,019,829.95 : x - Step 2: Convert to fraction form
2,306,343,017,298.90/3,457,092,827,117.50 = 775,988,019,829.95/x - Step 3: Cross multiply
2,306,343,017,298.90x = 3,457,092,827,117.50 × 775,988,019,829.95 - Step 4: Simplify right side
2,306,343,017,298.90x = 2,682,662,617,283,232,301,842,432 - Step 5: Solve for x
x = 2,682,662,617,283,232,301,842,432/2,306,343,017,298.90 - Step 6: Final answer
x = 1,163,167,229,315.73
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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.