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Finding the Fourth Proportional to 463,574,016,002.70, 695,361,024,004.02 and 463,574,016,002.70

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Solution

The fourth proportional to 463,574,016,002.70, 695,361,024,004.02 and 463,574,016,002.70 is: 695,361,024,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,574,016,002.70 : 695,361,024,004.02 = 463,574,016,002.70 : x
  2. Step 2: Convert to fraction form
    463,574,016,002.70/695,361,024,004.02 = 463,574,016,002.70/x
  3. Step 3: Cross multiply
    463,574,016,002.70x = 695,361,024,004.02 × 463,574,016,002.70
  4. Step 4: Simplify right side
    463,574,016,002.70x = 322,351,302,469,293,468,286,976
  5. Step 5: Solve for x
    x = 322,351,302,469,293,468,286,976/463,574,016,002.70
  6. Step 6: Final answer
    x = 695,361,024,004.02

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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.