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Finding the Fourth Proportional to 209,952,447.80, 314,928,671.70 and 193,371,488.60

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Solution

The fourth proportional to 209,952,447.80, 314,928,671.70 and 193,371,488.60 is: 290,057,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,447.80 : 314,928,671.70 = 193,371,488.60 : x
  2. Step 2: Convert to fraction form
    209,952,447.80/314,928,671.70 = 193,371,488.60/x
  3. Step 3: Cross multiply
    209,952,447.80x = 314,928,671.70 × 193,371,488.60
  4. Step 4: Simplify right side
    209,952,447.80x = 60,898,226,049,449,688
  5. Step 5: Solve for x
    x = 60,898,226,049,449,688/209,952,447.80
  6. Step 6: Final answer
    x = 290,057,232.90

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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.