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Finding the Fourth Proportional to 319,306,006.80, 478,959,010.20 and 319,306,006.80

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Solution

The fourth proportional to 319,306,006.80, 478,959,010.20 and 319,306,006.80 is: 478,959,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,306,006.80 : 478,959,010.20 = 319,306,006.80 : x
  2. Step 2: Convert to fraction form
    319,306,006.80/478,959,010.20 = 319,306,006.80/x
  3. Step 3: Cross multiply
    319,306,006.80x = 478,959,010.20 × 319,306,006.80
  4. Step 4: Simplify right side
    319,306,006.80x = 152,934,488,967,842,464
  5. Step 5: Solve for x
    x = 152,934,488,967,842,464/319,306,006.80
  6. Step 6: Final answer
    x = 478,959,010.20

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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.