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Finding the Fourth Proportional to 678,453,905.10, 1,017,680,857.65 and 678,453,905.10

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Solution

The fourth proportional to 678,453,905.10, 1,017,680,857.65 and 678,453,905.10 is: 1,017,680,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,453,905.10 : 1,017,680,857.65 = 678,453,905.10 : x
  2. Step 2: Convert to fraction form
    678,453,905.10/1,017,680,857.65 = 678,453,905.10/x
  3. Step 3: Cross multiply
    678,453,905.10x = 1,017,680,857.65 × 678,453,905.10
  4. Step 4: Simplify right side
    678,453,905.10x = 690,449,552,018,159,744
  5. Step 5: Solve for x
    x = 690,449,552,018,159,744/678,453,905.10
  6. Step 6: Final answer
    x = 1,017,680,857.65

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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.