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Finding the Fourth Proportional to 678,453,941.60, 1,017,680,912.40 and 678,453,941.60

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Solution

The fourth proportional to 678,453,941.60, 1,017,680,912.40 and 678,453,941.60 is: 1,017,680,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,453,941.60 : 1,017,680,912.40 = 678,453,941.60 : x
  2. Step 2: Convert to fraction form
    678,453,941.60/1,017,680,912.40 = 678,453,941.60/x
  3. Step 3: Cross multiply
    678,453,941.60x = 1,017,680,912.40 × 678,453,941.60
  4. Step 4: Simplify right side
    678,453,941.60x = 690,449,626,308,864,384
  5. Step 5: Solve for x
    x = 690,449,626,308,864,384/678,453,941.60
  6. Step 6: Final answer
    x = 1,017,680,912.40

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1.5x scale

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.