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Finding the Fourth Proportional to 336,649,803.40, 470,161,812.20 and 336,649,803.40

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Solution

The fourth proportional to 336,649,803.40, 470,161,812.20 and 336,649,803.40 is: 470,161,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,649,803.40 : 470,161,812.20 = 336,649,803.40 : x
  2. Step 2: Convert to fraction form
    336,649,803.40/470,161,812.20 = 336,649,803.40/x
  3. Step 3: Cross multiply
    336,649,803.40x = 470,161,812.20 × 336,649,803.40
  4. Step 4: Simplify right side
    336,649,803.40x = 158,279,881,643,317,696
  5. Step 5: Solve for x
    x = 158,279,881,643,317,696/336,649,803.40
  6. Step 6: Final answer
    x = 470,161,812.20

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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.