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Finding the Fourth Proportional to 506,584,234.40, 759,876,351.60 and 478,366,685.60

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Solution

The fourth proportional to 506,584,234.40, 759,876,351.60 and 478,366,685.60 is: 717,550,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,584,234.40 : 759,876,351.60 = 478,366,685.60 : x
  2. Step 2: Convert to fraction form
    506,584,234.40/759,876,351.60 = 478,366,685.60/x
  3. Step 3: Cross multiply
    506,584,234.40x = 759,876,351.60 × 478,366,685.60
  4. Step 4: Simplify right side
    506,584,234.40x = 363,499,531,780,712,256
  5. Step 5: Solve for x
    x = 363,499,531,780,712,256/506,584,234.40
  6. Step 6: Final answer
    x = 717,550,028.40

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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.