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Finding the Fourth Proportional to 310,032,405.20, 465,048,607.80 and 206,720,274.80

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Solution

The fourth proportional to 310,032,405.20, 465,048,607.80 and 206,720,274.80 is: 310,080,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032,405.20 : 465,048,607.80 = 206,720,274.80 : x
  2. Step 2: Convert to fraction form
    310,032,405.20/465,048,607.80 = 206,720,274.80/x
  3. Step 3: Cross multiply
    310,032,405.20x = 465,048,607.80 × 206,720,274.80
  4. Step 4: Simplify right side
    310,032,405.20x = 96,134,975,999,773,424
  5. Step 5: Solve for x
    x = 96,134,975,999,773,424/310,032,405.20
  6. Step 6: Final answer
    x = 310,080,412.20

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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.