Finding the Fourth Proportional to 26,864,357,150,193, 40,300,564,906,794 and 9,435,637,176,805
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Solution
The fourth proportional to 26,864,357,150,193, 40,300,564,906,794 and 9,435,637,176,805 is: 14,154,870,944,978.35
Step by Step Solution
- Step 1: Write the proportion equation
26,864,357,150,193 : 40,300,564,906,794 = 9,435,637,176,805 : x - Step 2: Convert to fraction form
26,864,357,150,193/40,300,564,906,794 = 9,435,637,176,805/x - Step 3: Cross multiply
26,864,357,150,193x = 40,300,564,906,794 × 9,435,637,176,805 - Step 4: Simplify right side
26,864,357,150,193x = 380,261,508,480,788,366,685,634,560 - Step 5: Solve for x
x = 380,261,508,480,788,366,685,634,560/26,864,357,150,193 - Step 6: Final answer
x = 14,154,870,944,978.35
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.