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Finding the Fourth Proportional to 209,951,995.20, 314,927,992.80 and 164,035,492.80

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Solution

The fourth proportional to 209,951,995.20, 314,927,992.80 and 164,035,492.80 is: 246,053,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,951,995.20 : 314,927,992.80 = 164,035,492.80 : x
  2. Step 2: Convert to fraction form
    209,951,995.20/314,927,992.80 = 164,035,492.80/x
  3. Step 3: Cross multiply
    209,951,995.20x = 314,927,992.80 × 164,035,492.80
  4. Step 4: Simplify right side
    209,951,995.20x = 51,659,368,495,462,856
  5. Step 5: Solve for x
    x = 51,659,368,495,462,856/209,951,995.20
  6. Step 6: Final answer
    x = 246,053,239.20

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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.