Finding the Fourth Proportional to 11,828,203,582.24, 16,323,049,938 and 6,547,893,986.08
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Solution
The fourth proportional to 11,828,203,582.24, 16,323,049,938 and 6,547,893,986.08 is: 9,036,165,109.97
Step by Step Solution
- Step 1: Write the proportion equation
11,828,203,582.24 : 16,323,049,938 = 6,547,893,986.08 : x - Step 2: Convert to fraction form
11,828,203,582.24/16,323,049,938 = 6,547,893,986.08/x - Step 3: Cross multiply
11,828,203,582.24x = 16,323,049,938 × 6,547,893,986.08 - Step 4: Simplify right side
11,828,203,582.24x = 106,881,600,523,513,708,544 - Step 5: Solve for x
x = 106,881,600,523,513,708,544/11,828,203,582.24 - Step 6: Final answer
x = 9,036,165,109.97
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.