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Finding the Fourth Proportional to 74,659,806,048.30, 111,989,709,072.45 and 74,659,806,048.30

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Solution

The fourth proportional to 74,659,806,048.30, 111,989,709,072.45 and 74,659,806,048.30 is: 111,989,709,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,659,806,048.30 : 111,989,709,072.45 = 74,659,806,048.30 : x
  2. Step 2: Convert to fraction form
    74,659,806,048.30/111,989,709,072.45 = 74,659,806,048.30/x
  3. Step 3: Cross multiply
    74,659,806,048.30x = 111,989,709,072.45 × 74,659,806,048.30
  4. Step 4: Simplify right side
    74,659,806,048.30x = 8,361,129,958,754,660,384,768
  5. Step 5: Solve for x
    x = 8,361,129,958,754,660,384,768/74,659,806,048.30
  6. Step 6: Final answer
    x = 111,989,709,072.45

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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.