Finding the Fourth Proportional to 2,105,798,765,829.60, 3,156,493,559,297.50 and 881,259,479,718.21
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Solution
The fourth proportional to 2,105,798,765,829.60, 3,156,493,559,297.50 and 881,259,479,718.21 is: 1,320,966,617,009.35
Step by Step Solution
- Step 1: Write the proportion equation
2,105,798,765,829.60 : 3,156,493,559,297.50 = 881,259,479,718.21 : x - Step 2: Convert to fraction form
2,105,798,765,829.60/3,156,493,559,297.50 = 881,259,479,718.21/x - Step 3: Cross multiply
2,105,798,765,829.60x = 3,156,493,559,297.50 × 881,259,479,718.21 - Step 4: Simplify right side
2,105,798,765,829.60x = 2,781,689,871,800,395,817,287,680 - Step 5: Solve for x
x = 2,781,689,871,800,395,817,287,680/2,105,798,765,829.60 - Step 6: Final answer
x = 1,320,966,617,009.35
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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.