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Finding the Fourth Proportional to 472,392,927.30, 708,589,390.95 and 469,523,145.90

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Solution

The fourth proportional to 472,392,927.30, 708,589,390.95 and 469,523,145.90 is: 704,284,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,927.30 : 708,589,390.95 = 469,523,145.90 : x
  2. Step 2: Convert to fraction form
    472,392,927.30/708,589,390.95 = 469,523,145.90/x
  3. Step 3: Cross multiply
    472,392,927.30x = 708,589,390.95 × 469,523,145.90
  4. Step 4: Simplify right side
    472,392,927.30x = 332,699,119,990,209,024
  5. Step 5: Solve for x
    x = 332,699,119,990,209,024/472,392,927.30
  6. Step 6: Final answer
    x = 704,284,718.85

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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.