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Finding the Fourth Proportional to 209,820,730.20, 314,731,095.30 and 209,820,730.20

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Solution

The fourth proportional to 209,820,730.20, 314,731,095.30 and 209,820,730.20 is: 314,731,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820,730.20 : 314,731,095.30 = 209,820,730.20 : x
  2. Step 2: Convert to fraction form
    209,820,730.20/314,731,095.30 = 209,820,730.20/x
  3. Step 3: Cross multiply
    209,820,730.20x = 314,731,095.30 × 209,820,730.20
  4. Step 4: Simplify right side
    209,820,730.20x = 66,037,108,232,491,784
  5. Step 5: Solve for x
    x = 66,037,108,232,491,784/209,820,730.20
  6. Step 6: Final answer
    x = 314,731,095.30

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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.