Finding the Fourth Proportional to 26,864,357,150,196, 40,300,564,906,800 and 9,435,637,176,809
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Solution
The fourth proportional to 26,864,357,150,196, 40,300,564,906,800 and 9,435,637,176,809 is: 14,154,870,944,984.88
Step by Step Solution
- Step 1: Write the proportion equation
26,864,357,150,196 : 40,300,564,906,800 = 9,435,637,176,809 : x - Step 2: Convert to fraction form
26,864,357,150,196/40,300,564,906,800 = 9,435,637,176,809/x - Step 3: Cross multiply
26,864,357,150,196x = 40,300,564,906,800 × 9,435,637,176,809 - Step 4: Simplify right side
26,864,357,150,196x = 380,261,508,481,006,207,426,887,680 - Step 5: Solve for x
x = 380,261,508,481,006,207,426,887,680/26,864,357,150,196 - Step 6: Final answer
x = 14,154,870,944,984.88
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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.