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Finding the Fourth Proportional to 318,816,070.30, 478,224,105.45 and 318,816,070.30

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Solution

The fourth proportional to 318,816,070.30, 478,224,105.45 and 318,816,070.30 is: 478,224,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,816,070.30 : 478,224,105.45 = 318,816,070.30 : x
  2. Step 2: Convert to fraction form
    318,816,070.30/478,224,105.45 = 318,816,070.30/x
  3. Step 3: Cross multiply
    318,816,070.30x = 478,224,105.45 × 318,816,070.30
  4. Step 4: Simplify right side
    318,816,070.30x = 152,465,530,022,301,824
  5. Step 5: Solve for x
    x = 152,465,530,022,301,824/318,816,070.30
  6. Step 6: Final answer
    x = 478,224,105.45

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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.