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Finding the Fourth Proportional to 271,299,768.80, 406,974,536.40 and 89,547,346.40

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Solution

The fourth proportional to 271,299,768.80, 406,974,536.40 and 89,547,346.40 is: 134,329,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,299,768.80 : 406,974,536.40 = 89,547,346.40 : x
  2. Step 2: Convert to fraction form
    271,299,768.80/406,974,536.40 = 89,547,346.40/x
  3. Step 3: Cross multiply
    271,299,768.80x = 406,974,536.40 × 89,547,346.40
  4. Step 4: Simplify right side
    271,299,768.80x = 36,443,489,786,990,208
  5. Step 5: Solve for x
    x = 36,443,489,786,990,208/271,299,768.80
  6. Step 6: Final answer
    x = 134,329,232.75

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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.