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Finding the Fourth Proportional to 449,366,963.10, 674,050,444.65 and 449,366,963.10

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Solution

The fourth proportional to 449,366,963.10, 674,050,444.65 and 449,366,963.10 is: 674,050,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,366,963.10 : 674,050,444.65 = 449,366,963.10 : x
  2. Step 2: Convert to fraction form
    449,366,963.10/674,050,444.65 = 449,366,963.10/x
  3. Step 3: Cross multiply
    449,366,963.10x = 674,050,444.65 × 449,366,963.10
  4. Step 4: Simplify right side
    449,366,963.10x = 302,896,001,288,575,168
  5. Step 5: Solve for x
    x = 302,896,001,288,575,168/449,366,963.10
  6. Step 6: Final answer
    x = 674,050,444.65

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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.