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Finding the Fourth Proportional to 488,717,413,672.20, 733,076,120,508.33 and 488,717,413,672.20

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Solution

The fourth proportional to 488,717,413,672.20, 733,076,120,508.33 and 488,717,413,672.20 is: 733,076,120,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,717,413,672.20 : 733,076,120,508.33 = 488,717,413,672.20 : x
  2. Step 2: Convert to fraction form
    488,717,413,672.20/733,076,120,508.33 = 488,717,413,672.20/x
  3. Step 3: Cross multiply
    488,717,413,672.20x = 733,076,120,508.33 × 488,717,413,672.20
  4. Step 4: Simplify right side
    488,717,413,672.20x = 358,267,065,639,681,029,832,704
  5. Step 5: Solve for x
    x = 358,267,065,639,681,029,832,704/488,717,413,672.20
  6. Step 6: Final answer
    x = 733,076,120,508.33

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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.