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Finding the Fourth Proportional to 3,811,888,966.65, 5,717,833,449.98 and 3,811,888,966.65

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Solution

The fourth proportional to 3,811,888,966.65, 5,717,833,449.98 and 3,811,888,966.65 is: 5,717,833,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811,888,966.65 : 5,717,833,449.98 = 3,811,888,966.65 : x
  2. Step 2: Convert to fraction form
    3,811,888,966.65/5,717,833,449.98 = 3,811,888,966.65/x
  3. Step 3: Cross multiply
    3,811,888,966.65x = 5,717,833,449.98 × 3,811,888,966.65
  4. Step 4: Simplify right side
    3,811,888,966.65x = 21,795,746,241,121,067,008
  5. Step 5: Solve for x
    x = 21,795,746,241,121,067,008/3,811,888,966.65
  6. Step 6: Final answer
    x = 5,717,833,449.98

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Half scale
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Double scale
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Similar ratio
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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.