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Finding the Fourth Proportional to 206,112,920,102.20, 308,734,023,686.10 and 206,112,920,102.20

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Solution

The fourth proportional to 206,112,920,102.20, 308,734,023,686.10 and 206,112,920,102.20 is: 308,734,023,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,112,920,102.20 : 308,734,023,686.10 = 206,112,920,102.20 : x
  2. Step 2: Convert to fraction form
    206,112,920,102.20/308,734,023,686.10 = 206,112,920,102.20/x
  3. Step 3: Cross multiply
    206,112,920,102.20x = 308,734,023,686.10 × 206,112,920,102.20
  4. Step 4: Simplify right side
    206,112,920,102.20x = 63,634,071,156,843,849,187,328
  5. Step 5: Solve for x
    x = 63,634,071,156,843,849,187,328/206,112,920,102.20
  6. Step 6: Final answer
    x = 308,734,023,686.10

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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.