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Finding the Fourth Proportional to 497,774,809.20, 746,662,213.80 and 448,457,084.40

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Solution

The fourth proportional to 497,774,809.20, 746,662,213.80 and 448,457,084.40 is: 672,685,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,774,809.20 : 746,662,213.80 = 448,457,084.40 : x
  2. Step 2: Convert to fraction form
    497,774,809.20/746,662,213.80 = 448,457,084.40/x
  3. Step 3: Cross multiply
    497,774,809.20x = 746,662,213.80 × 448,457,084.40
  4. Step 4: Simplify right side
    497,774,809.20x = 334,845,959,432,397,376
  5. Step 5: Solve for x
    x = 334,845,959,432,397,376/497,774,809.20
  6. Step 6: Final answer
    x = 672,685,626.60

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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.