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Finding the Fourth Proportional to 505,306,803.60, 757,960,205.40 and 431,330,216.40

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Solution

The fourth proportional to 505,306,803.60, 757,960,205.40 and 431,330,216.40 is: 646,995,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,306,803.60 : 757,960,205.40 = 431,330,216.40 : x
  2. Step 2: Convert to fraction form
    505,306,803.60/757,960,205.40 = 431,330,216.40/x
  3. Step 3: Cross multiply
    505,306,803.60x = 757,960,205.40 × 431,330,216.40
  4. Step 4: Simplify right side
    505,306,803.60x = 326,931,139,417,770,432
  5. Step 5: Solve for x
    x = 326,931,139,417,770,432/505,306,803.60
  6. Step 6: Final answer
    x = 646,995,324.60

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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.