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Finding the Fourth Proportional to 574,723,206.40, 862,084,809.60 and 574,723,206.40

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Solution

The fourth proportional to 574,723,206.40, 862,084,809.60 and 574,723,206.40 is: 862,084,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,723,206.40 : 862,084,809.60 = 574,723,206.40 : x
  2. Step 2: Convert to fraction form
    574,723,206.40/862,084,809.60 = 574,723,206.40/x
  3. Step 3: Cross multiply
    574,723,206.40x = 862,084,809.60 × 574,723,206.40
  4. Step 4: Simplify right side
    574,723,206.40x = 495,460,145,962,045,504
  5. Step 5: Solve for x
    x = 495,460,145,962,045,504/574,723,206.40
  6. Step 6: Final answer
    x = 862,084,809.60

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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.