Finding the Fourth Proportional to 2,497,671,151.74, 3,746,513,114.67 and 632,317,047.12
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Solution
The fourth proportional to 2,497,671,151.74, 3,746,513,114.67 and 632,317,047.12 is: 948,477,187.65
Step by Step Solution
- Step 1: Write the proportion equation
2,497,671,151.74 : 3,746,513,114.67 = 632,317,047.12 : x - Step 2: Convert to fraction form
2,497,671,151.74/3,746,513,114.67 = 632,317,047.12/x - Step 3: Cross multiply
2,497,671,151.74x = 3,746,513,114.67 × 632,317,047.12 - Step 4: Simplify right side
2,497,671,151.74x = 2,368,984,109,664,488,448 - Step 5: Solve for x
x = 2,368,984,109,664,488,448/2,497,671,151.74 - Step 6: Final answer
x = 948,477,187.65
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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.