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Finding the Fourth Proportional to 5,100,850,827.30, 7,651,276,240.95 and 5,100,850,827.30

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Solution

The fourth proportional to 5,100,850,827.30, 7,651,276,240.95 and 5,100,850,827.30 is: 7,651,276,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100,850,827.30 : 7,651,276,240.95 = 5,100,850,827.30 : x
  2. Step 2: Convert to fraction form
    5,100,850,827.30/7,651,276,240.95 = 5,100,850,827.30/x
  3. Step 3: Cross multiply
    5,100,850,827.30x = 7,651,276,240.95 × 5,100,850,827.30
  4. Step 4: Simplify right side
    5,100,850,827.30x = 39,028,018,743,550,640,128
  5. Step 5: Solve for x
    x = 39,028,018,743,550,640,128/5,100,850,827.30
  6. Step 6: Final answer
    x = 7,651,276,240.95

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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.