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Finding the Fourth Proportional to 125,882,320,312.20, 188,823,480,468.30 and 125,882,320,312.20

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Solution

The fourth proportional to 125,882,320,312.20, 188,823,480,468.30 and 125,882,320,312.20 is: 188,823,480,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,882,320,312.20 : 188,823,480,468.30 = 125,882,320,312.20 : x
  2. Step 2: Convert to fraction form
    125,882,320,312.20/188,823,480,468.30 = 125,882,320,312.20/x
  3. Step 3: Cross multiply
    125,882,320,312.20x = 188,823,480,468.30 × 125,882,320,312.20
  4. Step 4: Simplify right side
    125,882,320,312.20x = 23,769,537,850,774,978,035,712
  5. Step 5: Solve for x
    x = 23,769,537,850,774,978,035,712/125,882,320,312.20
  6. Step 6: Final answer
    x = 188,823,480,468.30

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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.