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Finding the Fourth Proportional to 708,467,472,001.30, 1,062,701,208,002 and 708,467,472,001.30

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Solution

The fourth proportional to 708,467,472,001.30, 1,062,701,208,002 and 708,467,472,001.30 is: 1,062,701,208,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,467,472,001.30 : 1,062,701,208,002 = 708,467,472,001.30 : x
  2. Step 2: Convert to fraction form
    708,467,472,001.30/1,062,701,208,002 = 708,467,472,001.30/x
  3. Step 3: Cross multiply
    708,467,472,001.30x = 1,062,701,208,002 × 708,467,472,001.30
  4. Step 4: Simplify right side
    708,467,472,001.30x = 752,889,238,325,904,654,991,360
  5. Step 5: Solve for x
    x = 752,889,238,325,904,654,991,360/708,467,472,001.30
  6. Step 6: Final answer
    x = 1,062,701,208,002

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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.