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Finding the Fourth Proportional to 464,254,103.52, 640,670,658.84 and 255,405,764.16

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Solution

The fourth proportional to 464,254,103.52, 640,670,658.84 and 255,405,764.16 is: 352,459,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,254,103.52 : 640,670,658.84 = 255,405,764.16 : x
  2. Step 2: Convert to fraction form
    464,254,103.52/640,670,658.84 = 255,405,764.16/x
  3. Step 3: Cross multiply
    464,254,103.52x = 640,670,658.84 × 255,405,764.16
  4. Step 4: Simplify right side
    464,254,103.52x = 163,630,979,195,920,864
  5. Step 5: Solve for x
    x = 163,630,979,195,920,864/464,254,103.52
  6. Step 6: Final answer
    x = 352,459,952.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.