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Finding the Fourth Proportional to 314,928,714.30, 472,393,071.45 and 314,928,714.30

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Solution

The fourth proportional to 314,928,714.30, 472,393,071.45 and 314,928,714.30 is: 472,393,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,714.30 : 472,393,071.45 = 314,928,714.30 : x
  2. Step 2: Convert to fraction form
    314,928,714.30/472,393,071.45 = 314,928,714.30/x
  3. Step 3: Cross multiply
    314,928,714.30x = 472,393,071.45 × 314,928,714.30
  4. Step 4: Simplify right side
    314,928,714.30x = 148,770,142,635,976,544
  5. Step 5: Solve for x
    x = 148,770,142,635,976,544/314,928,714.30
  6. Step 6: Final answer
    x = 472,393,071.45

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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.