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Finding the Fourth Proportional to 6,205,896,166.95, 9,308,844,250.43 and 6,205,896,166.95

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Solution

The fourth proportional to 6,205,896,166.95, 9,308,844,250.43 and 6,205,896,166.95 is: 9,308,844,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,896,166.95 : 9,308,844,250.43 = 6,205,896,166.95 : x
  2. Step 2: Convert to fraction form
    6,205,896,166.95/9,308,844,250.43 = 6,205,896,166.95/x
  3. Step 3: Cross multiply
    6,205,896,166.95x = 9,308,844,250.43 × 6,205,896,166.95
  4. Step 4: Simplify right side
    6,205,896,166.95x = 57,769,720,852,447,043,584
  5. Step 5: Solve for x
    x = 57,769,720,852,447,043,584/6,205,896,166.95
  6. Step 6: Final answer
    x = 9,308,844,250.43

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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.