Finding the Fourth Proportional to 5,327,664,855,216, 7,993,218,341,550.20 and 2,464,358,913,669.40
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Solution
The fourth proportional to 5,327,664,855,216, 7,993,218,341,550.20 and 2,464,358,913,669.40 is: 3,697,334,461,573.66
Step by Step Solution
- Step 1: Write the proportion equation
5,327,664,855,216 : 7,993,218,341,550.20 = 2,464,358,913,669.40 : x - Step 2: Convert to fraction form
5,327,664,855,216/7,993,218,341,550.20 = 2,464,358,913,669.40/x - Step 3: Cross multiply
5,327,664,855,216x = 7,993,218,341,550.20 × 2,464,358,913,669.40 - Step 4: Simplify right side
5,327,664,855,216x = 19,698,158,868,904,975,580,266,496 - Step 5: Solve for x
x = 19,698,158,868,904,975,580,266,496/5,327,664,855,216 - Step 6: Final answer
x = 3,697,334,461,573.66
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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.