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Finding the Fourth Proportional to 65,282,912,557.30, 91,570,220,167.10 and 65,282,912,557.30

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Solution

The fourth proportional to 65,282,912,557.30, 91,570,220,167.10 and 65,282,912,557.30 is: 91,570,220,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282,912,557.30 : 91,570,220,167.10 = 65,282,912,557.30 : x
  2. Step 2: Convert to fraction form
    65,282,912,557.30/91,570,220,167.10 = 65,282,912,557.30/x
  3. Step 3: Cross multiply
    65,282,912,557.30x = 91,570,220,167.10 × 65,282,912,557.30
  4. Step 4: Simplify right side
    65,282,912,557.30x = 5,977,970,676,021,498,740,736
  5. Step 5: Solve for x
    x = 5,977,970,676,021,498,740,736/65,282,912,557.30
  6. Step 6: Final answer
    x = 91,570,220,167.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.