Finding the Fourth Proportional to 4,547,758,240.88, 6,822,288,090.12 and 1,400,239,167.72
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Solution
The fourth proportional to 4,547,758,240.88, 6,822,288,090.12 and 1,400,239,167.72 is: 2,100,559,108.75
Step by Step Solution
- Step 1: Write the proportion equation
4,547,758,240.88 : 6,822,288,090.12 = 1,400,239,167.72 : x - Step 2: Convert to fraction form
4,547,758,240.88/6,822,288,090.12 = 1,400,239,167.72/x - Step 3: Cross multiply
4,547,758,240.88x = 6,822,288,090.12 × 1,400,239,167.72 - Step 4: Simplify right side
4,547,758,240.88x = 9,552,834,997,255,696,384 - Step 5: Solve for x
x = 9,552,834,997,255,696,384/4,547,758,240.88 - Step 6: Final answer
x = 2,100,559,108.75
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1.5x scale
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.