Finding the Fourth Proportional to 10,852,868,974,280, 16,284,110,830,947 and 5,688,486,652,588.20
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Solution
The fourth proportional to 10,852,868,974,280, 16,284,110,830,947 and 5,688,486,652,588.20 is: 8,535,249,741,854.95
Step by Step Solution
- Step 1: Write the proportion equation
10,852,868,974,280 : 16,284,110,830,947 = 5,688,486,652,588.20 : x - Step 2: Convert to fraction form
10,852,868,974,280/16,284,110,830,947 = 5,688,486,652,588.20/x - Step 3: Cross multiply
10,852,868,974,280x = 16,284,110,830,947 × 5,688,486,652,588.20 - Step 4: Simplify right side
10,852,868,974,280x = 92,631,947,111,108,957,928,685,568 - Step 5: Solve for x
x = 92,631,947,111,108,957,928,685,568/10,852,868,974,280 - Step 6: Final answer
x = 8,535,249,741,854.95
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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.