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Finding the Fourth Proportional to 125,657,203,500.15, 188,485,805,250.22 and 125,657,203,500.15

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Solution

The fourth proportional to 125,657,203,500.15, 188,485,805,250.22 and 125,657,203,500.15 is: 188,485,805,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,657,203,500.15 : 188,485,805,250.22 = 125,657,203,500.15 : x
  2. Step 2: Convert to fraction form
    125,657,203,500.15/188,485,805,250.22 = 125,657,203,500.15/x
  3. Step 3: Cross multiply
    125,657,203,500.15x = 188,485,805,250.22 × 125,657,203,500.15
  4. Step 4: Simplify right side
    125,657,203,500.15x = 23,684,599,187,216,533,553,152
  5. Step 5: Solve for x
    x = 23,684,599,187,216,533,553,152/125,657,203,500.15
  6. Step 6: Final answer
    x = 188,485,805,250.22

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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.