Finding the Fourth Proportional to 11,390,756,697,407, 15,720,591,835,295 and 6,766,267,118,445.20
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Solution
The fourth proportional to 11,390,756,697,407, 15,720,591,835,295 and 6,766,267,118,445.20 is: 9,338,249,112,270.89
Step by Step Solution
- Step 1: Write the proportion equation
11,390,756,697,407 : 15,720,591,835,295 = 6,766,267,118,445.20 : x - Step 2: Convert to fraction form
11,390,756,697,407/15,720,591,835,295 = 6,766,267,118,445.20/x - Step 3: Cross multiply
11,390,756,697,407x = 15,720,591,835,295 × 6,766,267,118,445.20 - Step 4: Simplify right side
11,390,756,697,407x = 106,369,723,617,654,641,323,409,408 - Step 5: Solve for x
x = 106,369,723,617,654,641,323,409,408/11,390,756,697,407 - Step 6: Final answer
x = 9,338,249,112,270.89
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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.