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Finding the Fourth Proportional to 511,489,314.30, 767,233,971.45 and 511,489,314.30

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Solution

The fourth proportional to 511,489,314.30, 767,233,971.45 and 511,489,314.30 is: 767,233,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,489,314.30 : 767,233,971.45 = 511,489,314.30 : x
  2. Step 2: Convert to fraction form
    511,489,314.30/767,233,971.45 = 511,489,314.30/x
  3. Step 3: Cross multiply
    511,489,314.30x = 767,233,971.45 × 511,489,314.30
  4. Step 4: Simplify right side
    511,489,314.30x = 392,431,977,964,626,304
  5. Step 5: Solve for x
    x = 392,431,977,964,626,304/511,489,314.30
  6. Step 6: Final answer
    x = 767,233,971.45

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Double scale
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Similar ratio
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1.5x scale

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.