Finding the Fourth Proportional to 26,864,357,150,236, 40,300,564,906,857 and 9,435,637,176,849
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Solution
The fourth proportional to 26,864,357,150,236, 40,300,564,906,857 and 9,435,637,176,849 is: 14,154,870,945,043.83
Step by Step Solution
- Step 1: Write the proportion equation
26,864,357,150,236 : 40,300,564,906,857 = 9,435,637,176,849 : x - Step 2: Convert to fraction form
26,864,357,150,236/40,300,564,906,857 = 9,435,637,176,849/x - Step 3: Cross multiply
26,864,357,150,236x = 40,300,564,906,857 × 9,435,637,176,849 - Step 4: Simplify right side
26,864,357,150,236x = 380,261,508,483,156,096,256,573,440 - Step 5: Solve for x
x = 380,261,508,483,156,096,256,573,440/26,864,357,150,236 - Step 6: Final answer
x = 14,154,870,945,043.83
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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.