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Finding the Fourth Proportional to 348,513,740,464.80, 522,770,610,697.20 and 348,513,740,464.80

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Solution

The fourth proportional to 348,513,740,464.80, 522,770,610,697.20 and 348,513,740,464.80 is: 522,770,610,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,513,740,464.80 : 522,770,610,697.20 = 348,513,740,464.80 : x
  2. Step 2: Convert to fraction form
    348,513,740,464.80/522,770,610,697.20 = 348,513,740,464.80/x
  3. Step 3: Cross multiply
    348,513,740,464.80x = 522,770,610,697.20 × 348,513,740,464.80
  4. Step 4: Simplify right side
    348,513,740,464.80x = 182,192,740,939,148,948,406,272
  5. Step 5: Solve for x
    x = 182,192,740,939,148,948,406,272/348,513,740,464.80
  6. Step 6: Final answer
    x = 522,770,610,697.20

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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.