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Finding the Fourth Proportional to 828,926,051.20, 1,162,195,164.80 and 828,926,051.20

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Solution

The fourth proportional to 828,926,051.20, 1,162,195,164.80 and 828,926,051.20 is: 1,162,195,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,926,051.20 : 1,162,195,164.80 = 828,926,051.20 : x
  2. Step 2: Convert to fraction form
    828,926,051.20/1,162,195,164.80 = 828,926,051.20/x
  3. Step 3: Cross multiply
    828,926,051.20x = 1,162,195,164.80 × 828,926,051.20
  4. Step 4: Simplify right side
    828,926,051.20x = 963,373,848,681,397,248
  5. Step 5: Solve for x
    x = 963,373,848,681,397,248/828,926,051.20
  6. Step 6: Final answer
    x = 1,162,195,164.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.