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Finding the Fourth Proportional to 431,357,460.80, 647,036,191.20 and 189,492,756.80

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Solution

The fourth proportional to 431,357,460.80, 647,036,191.20 and 189,492,756.80 is: 284,239,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,357,460.80 : 647,036,191.20 = 189,492,756.80 : x
  2. Step 2: Convert to fraction form
    431,357,460.80/647,036,191.20 = 189,492,756.80/x
  3. Step 3: Cross multiply
    431,357,460.80x = 647,036,191.20 × 189,492,756.80
  4. Step 4: Simplify right side
    431,357,460.80x = 122,608,671,619,859,920
  5. Step 5: Solve for x
    x = 122,608,671,619,859,920/431,357,460.80
  6. Step 6: Final answer
    x = 284,239,135.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.