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Finding the Fourth Proportional to 270,668,748,523.35, 406,003,122,785.03 and 270,668,748,523.35

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Solution

The fourth proportional to 270,668,748,523.35, 406,003,122,785.03 and 270,668,748,523.35 is: 406,003,122,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,668,748,523.35 : 406,003,122,785.03 = 270,668,748,523.35 : x
  2. Step 2: Convert to fraction form
    270,668,748,523.35/406,003,122,785.03 = 270,668,748,523.35/x
  3. Step 3: Cross multiply
    270,668,748,523.35x = 406,003,122,785.03 × 270,668,748,523.35
  4. Step 4: Simplify right side
    270,668,748,523.35x = 109,892,357,140,796,084,846,592
  5. Step 5: Solve for x
    x = 109,892,357,140,796,084,846,592/270,668,748,523.35
  6. Step 6: Final answer
    x = 406,003,122,785.03

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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.