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Finding the Fourth Proportional to 2,102,563,900.95, 3,153,845,851.43 and 2,102,563,900.95

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Solution

The fourth proportional to 2,102,563,900.95, 3,153,845,851.43 and 2,102,563,900.95 is: 3,153,845,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,563,900.95 : 3,153,845,851.43 = 2,102,563,900.95 : x
  2. Step 2: Convert to fraction form
    2,102,563,900.95/3,153,845,851.43 = 2,102,563,900.95/x
  3. Step 3: Cross multiply
    2,102,563,900.95x = 3,153,845,851.43 × 2,102,563,900.95
  4. Step 4: Simplify right side
    2,102,563,900.95x = 6,631,162,436,367,122,432
  5. Step 5: Solve for x
    x = 6,631,162,436,367,122,432/2,102,563,900.95
  6. Step 6: Final answer
    x = 3,153,845,851.43

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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.