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Finding the Fourth Proportional to 453,482,164,916.20, 680,223,247,374.30 and 453,482,164,916.20

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Solution

The fourth proportional to 453,482,164,916.20, 680,223,247,374.30 and 453,482,164,916.20 is: 680,223,247,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,482,164,916.20 : 680,223,247,374.30 = 453,482,164,916.20 : x
  2. Step 2: Convert to fraction form
    453,482,164,916.20/680,223,247,374.30 = 453,482,164,916.20/x
  3. Step 3: Cross multiply
    453,482,164,916.20x = 680,223,247,374.30 × 453,482,164,916.20
  4. Step 4: Simplify right side
    453,482,164,916.20x = 308,469,110,845,625,440,665,600
  5. Step 5: Solve for x
    x = 308,469,110,845,625,440,665,600/453,482,164,916.20
  6. Step 6: Final answer
    x = 680,223,247,374.30

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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.