Finding the Fourth Proportional to 6,341,205,932,821, 9,507,916,160,668.50 and 2,464,312,939,878.10
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Solution
The fourth proportional to 6,341,205,932,821, 9,507,916,160,668.50 and 2,464,312,939,878.10 is: 3,694,956,617,752.99
Step by Step Solution
- Step 1: Write the proportion equation
6,341,205,932,821 : 9,507,916,160,668.50 = 2,464,312,939,878.10 : x - Step 2: Convert to fraction form
6,341,205,932,821/9,507,916,160,668.50 = 2,464,312,939,878.10/x - Step 3: Cross multiply
6,341,205,932,821x = 9,507,916,160,668.50 × 2,464,312,939,878.10 - Step 4: Simplify right side
6,341,205,932,821x = 23,430,480,826,011,489,377,714,176 - Step 5: Solve for x
x = 23,430,480,826,011,489,377,714,176/6,341,205,932,821 - Step 6: Final answer
x = 3,694,956,617,752.99
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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.