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Finding the Fourth Proportional to 336,649,814.40, 470,161,827.60 and 336,649,814.40

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Solution

The fourth proportional to 336,649,814.40, 470,161,827.60 and 336,649,814.40 is: 470,161,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,649,814.40 : 470,161,827.60 = 336,649,814.40 : x
  2. Step 2: Convert to fraction form
    336,649,814.40/470,161,827.60 = 336,649,814.40/x
  3. Step 3: Cross multiply
    336,649,814.40x = 470,161,827.60 × 336,649,814.40
  4. Step 4: Simplify right side
    336,649,814.40x = 158,279,891,999,504,800
  5. Step 5: Solve for x
    x = 158,279,891,999,504,800/336,649,814.40
  6. Step 6: Final answer
    x = 470,161,827.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.