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Finding the Fourth Proportional to 96,536,738,531.20, 144,805,107,796.80 and 96,536,738,531.20

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Solution

The fourth proportional to 96,536,738,531.20, 144,805,107,796.80 and 96,536,738,531.20 is: 144,805,107,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536,738,531.20 : 144,805,107,796.80 = 96,536,738,531.20 : x
  2. Step 2: Convert to fraction form
    96,536,738,531.20/144,805,107,796.80 = 96,536,738,531.20/x
  3. Step 3: Cross multiply
    96,536,738,531.20x = 144,805,107,796.80 × 96,536,738,531.20
  4. Step 4: Simplify right side
    96,536,738,531.20x = 13,979,012,829,361,909,792,768
  5. Step 5: Solve for x
    x = 13,979,012,829,361,909,792,768/96,536,738,531.20
  6. Step 6: Final answer
    x = 144,805,107,796.80

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1.5x scale

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.