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Finding the Fourth Proportional to 76,937,446,843.20, 115,406,170,264.80 and 76,937,446,843.20

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Solution

The fourth proportional to 76,937,446,843.20, 115,406,170,264.80 and 76,937,446,843.20 is: 115,406,170,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937,446,843.20 : 115,406,170,264.80 = 76,937,446,843.20 : x
  2. Step 2: Convert to fraction form
    76,937,446,843.20/115,406,170,264.80 = 76,937,446,843.20/x
  3. Step 3: Cross multiply
    76,937,446,843.20x = 115,406,170,264.80 × 76,937,446,843.20
  4. Step 4: Simplify right side
    76,937,446,843.20x = 8,879,056,090,125,338,411,008
  5. Step 5: Solve for x
    x = 8,879,056,090,125,338,411,008/76,937,446,843.20
  6. Step 6: Final answer
    x = 115,406,170,264.80

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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.