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Finding the Fourth Proportional to 425,413,607,060.02, 638,120,410,590.03 and 425,413,607,060.02

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Solution

The fourth proportional to 425,413,607,060.02, 638,120,410,590.03 and 425,413,607,060.02 is: 638,120,410,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,413,607,060.02 : 638,120,410,590.03 = 425,413,607,060.02 : x
  2. Step 2: Convert to fraction form
    425,413,607,060.02/638,120,410,590.03 = 425,413,607,060.02/x
  3. Step 3: Cross multiply
    425,413,607,060.02x = 638,120,410,590.03 × 425,413,607,060.02
  4. Step 4: Simplify right side
    425,413,607,060.02x = 271,465,105,607,725,668,106,240
  5. Step 5: Solve for x
    x = 271,465,105,607,725,668,106,240/425,413,607,060.02
  6. Step 6: Final answer
    x = 638,120,410,590.03

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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.