Finding the Fourth Proportional to 1,510,702,515,322.10, 2,265,408,720,132.30 and 874,434,096,252.95
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Solution
The fourth proportional to 1,510,702,515,322.10, 2,265,408,720,132.30 and 874,434,096,252.95 is: 1,311,277,770,931.68
Step by Step Solution
- Step 1: Write the proportion equation
1,510,702,515,322.10 : 2,265,408,720,132.30 = 874,434,096,252.95 : x - Step 2: Convert to fraction form
1,510,702,515,322.10/2,265,408,720,132.30 = 874,434,096,252.95/x - Step 3: Cross multiply
1,510,702,515,322.10x = 2,265,408,720,132.30 × 874,434,096,252.95 - Step 4: Simplify right side
1,510,702,515,322.10x = 1,980,950,626,832,439,689,871,360 - Step 5: Solve for x
x = 1,980,950,626,832,439,689,871,360/1,510,702,515,322.10 - Step 6: Final answer
x = 1,311,277,770,931.68
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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.