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Finding the Fourth Proportional to 76,937,446,231.20, 115,406,169,346.80 and 76,937,446,231.20

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Solution

The fourth proportional to 76,937,446,231.20, 115,406,169,346.80 and 76,937,446,231.20 is: 115,406,169,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937,446,231.20 : 115,406,169,346.80 = 76,937,446,231.20 : x
  2. Step 2: Convert to fraction form
    76,937,446,231.20/115,406,169,346.80 = 76,937,446,231.20/x
  3. Step 3: Cross multiply
    76,937,446,231.20x = 115,406,169,346.80 × 76,937,446,231.20
  4. Step 4: Simplify right side
    76,937,446,231.20x = 8,879,055,948,868,186,275,840
  5. Step 5: Solve for x
    x = 8,879,055,948,868,186,275,840/76,937,446,231.20
  6. Step 6: Final answer
    x = 115,406,169,346.80

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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.