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Finding the Fourth Proportional to 11,832,471,066,547, 17,748,706,599,820 and 11,832,471,066,547

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Solution

The fourth proportional to 11,832,471,066,547, 17,748,706,599,820 and 11,832,471,066,547 is: 17,748,706,599,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832,471,066,547 : 17,748,706,599,820 = 11,832,471,066,547 : x
  2. Step 2: Convert to fraction form
    11,832,471,066,547/17,748,706,599,820 = 11,832,471,066,547/x
  3. Step 3: Cross multiply
    11,832,471,066,547x = 17,748,706,599,820 × 11,832,471,066,547
  4. Step 4: Simplify right side
    11,832,471,066,547x = 210,011,057,311,001,919,493,242,880
  5. Step 5: Solve for x
    x = 210,011,057,311,001,919,493,242,880/11,832,471,066,547
  6. Step 6: Final answer
    x = 17,748,706,599,820

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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.