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Finding the Fourth Proportional to 16,492,796,017.40, 24,739,194,026.10 and 16,492,796,017.40

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Solution

The fourth proportional to 16,492,796,017.40, 24,739,194,026.10 and 16,492,796,017.40 is: 24,739,194,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492,796,017.40 : 24,739,194,026.10 = 16,492,796,017.40 : x
  2. Step 2: Convert to fraction form
    16,492,796,017.40/24,739,194,026.10 = 16,492,796,017.40/x
  3. Step 3: Cross multiply
    16,492,796,017.40x = 24,739,194,026.10 × 16,492,796,017.40
  4. Step 4: Simplify right side
    16,492,796,017.40x = 408,018,480,707,347,939,328
  5. Step 5: Solve for x
    x = 408,018,480,707,347,939,328/16,492,796,017.40
  6. Step 6: Final answer
    x = 24,739,194,026.10

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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.