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Finding the Fourth Proportional to 318,815,999.80, 478,223,999.70 and 318,815,999.80

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Solution

The fourth proportional to 318,815,999.80, 478,223,999.70 and 318,815,999.80 is: 478,223,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,815,999.80 : 478,223,999.70 = 318,815,999.80 : x
  2. Step 2: Convert to fraction form
    318,815,999.80/478,223,999.70 = 318,815,999.80/x
  3. Step 3: Cross multiply
    318,815,999.80x = 478,223,999.70 × 318,815,999.80
  4. Step 4: Simplify right side
    318,815,999.80x = 152,465,462,592,710,400
  5. Step 5: Solve for x
    x = 152,465,462,592,710,400/318,815,999.80
  6. Step 6: Final answer
    x = 478,223,999.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.