Finding the Fourth Proportional to 1,702,794,603,641.80, 2,349,871,204,742.20 and 971,220,050,649.67
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Solution
The fourth proportional to 1,702,794,603,641.80, 2,349,871,204,742.20 and 971,220,050,649.67 is: 1,340,292,026,771.08
Step by Step Solution
- Step 1: Write the proportion equation
1,702,794,603,641.80 : 2,349,871,204,742.20 = 971,220,050,649.67 : x - Step 2: Convert to fraction form
1,702,794,603,641.80/2,349,871,204,742.20 = 971,220,050,649.67/x - Step 3: Cross multiply
1,702,794,603,641.80x = 2,349,871,204,742.20 × 971,220,050,649.67 - Step 4: Simplify right side
1,702,794,603,641.80x = 2,282,242,030,489,920,845,381,632 - Step 5: Solve for x
x = 2,282,242,030,489,920,845,381,632/1,702,794,603,641.80 - Step 6: Final answer
x = 1,340,292,026,771.08
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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.