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Finding the Fourth Proportional to 413,904,368.20, 620,856,552.30 and 284,909,859.40

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Solution

The fourth proportional to 413,904,368.20, 620,856,552.30 and 284,909,859.40 is: 427,364,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,904,368.20 : 620,856,552.30 = 284,909,859.40 : x
  2. Step 2: Convert to fraction form
    413,904,368.20/620,856,552.30 = 284,909,859.40/x
  3. Step 3: Cross multiply
    413,904,368.20x = 620,856,552.30 × 284,909,859.40
  4. Step 4: Simplify right side
    413,904,368.20x = 176,888,153,023,361,728
  5. Step 5: Solve for x
    x = 176,888,153,023,361,728/413,904,368.20
  6. Step 6: Final answer
    x = 427,364,789.10

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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.