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Finding the Fourth Proportional to 318,720,121.60, 478,080,182.40 and 318,720,121.60

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Solution

The fourth proportional to 318,720,121.60, 478,080,182.40 and 318,720,121.60 is: 478,080,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,720,121.60 : 478,080,182.40 = 318,720,121.60 : x
  2. Step 2: Convert to fraction form
    318,720,121.60/478,080,182.40 = 318,720,121.60/x
  3. Step 3: Cross multiply
    318,720,121.60x = 478,080,182.40 × 318,720,121.60
  4. Step 4: Simplify right side
    318,720,121.60x = 152,373,773,869,078,176
  5. Step 5: Solve for x
    x = 152,373,773,869,078,176/318,720,121.60
  6. Step 6: Final answer
    x = 478,080,182.40

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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.