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Finding the Fourth Proportional to 715,981,091.70, 1,005,094,506.30 and 715,981,091.70

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Solution

The fourth proportional to 715,981,091.70, 1,005,094,506.30 and 715,981,091.70 is: 1,005,094,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,981,091.70 : 1,005,094,506.30 = 715,981,091.70 : x
  2. Step 2: Convert to fraction form
    715,981,091.70/1,005,094,506.30 = 715,981,091.70/x
  3. Step 3: Cross multiply
    715,981,091.70x = 1,005,094,506.30 × 715,981,091.70
  4. Step 4: Simplify right side
    715,981,091.70x = 719,628,661,882,346,496
  5. Step 5: Solve for x
    x = 719,628,661,882,346,496/715,981,091.70
  6. Step 6: Final answer
    x = 1,005,094,506.30

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