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Finding the Fourth Proportional to 50,460,732,024.80, 75,691,098,037.20 and 50,460,732,024.80

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Solution

The fourth proportional to 50,460,732,024.80, 75,691,098,037.20 and 50,460,732,024.80 is: 75,691,098,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460,732,024.80 : 75,691,098,037.20 = 50,460,732,024.80 : x
  2. Step 2: Convert to fraction form
    50,460,732,024.80/75,691,098,037.20 = 50,460,732,024.80/x
  3. Step 3: Cross multiply
    50,460,732,024.80x = 75,691,098,037.20 × 50,460,732,024.80
  4. Step 4: Simplify right side
    50,460,732,024.80x = 3,819,428,214,718,014,685,184
  5. Step 5: Solve for x
    x = 3,819,428,214,718,014,685,184/50,460,732,024.80
  6. Step 6: Final answer
    x = 75,691,098,037.20

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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.