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Finding the Fourth Proportional to 50,460,732,078.30, 75,691,098,117.45 and 50,460,732,078.30

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Solution

The fourth proportional to 50,460,732,078.30, 75,691,098,117.45 and 50,460,732,078.30 is: 75,691,098,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460,732,078.30 : 75,691,098,117.45 = 50,460,732,078.30 : x
  2. Step 2: Convert to fraction form
    50,460,732,078.30/75,691,098,117.45 = 50,460,732,078.30/x
  3. Step 3: Cross multiply
    50,460,732,078.30x = 75,691,098,117.45 × 50,460,732,078.30
  4. Step 4: Simplify right side
    50,460,732,078.30x = 3,819,428,222,816,961,953,792
  5. Step 5: Solve for x
    x = 3,819,428,222,816,961,953,792/50,460,732,078.30
  6. Step 6: Final answer
    x = 75,691,098,117.45

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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.