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Finding the Fourth Proportional to 715,669,859.40, 1,071,993,134.70 and 715,669,859.40

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Solution

The fourth proportional to 715,669,859.40, 1,071,993,134.70 and 715,669,859.40 is: 1,071,993,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,669,859.40 : 1,071,993,134.70 = 715,669,859.40 : x
  2. Step 2: Convert to fraction form
    715,669,859.40/1,071,993,134.70 = 715,669,859.40/x
  3. Step 3: Cross multiply
    715,669,859.40x = 1,071,993,134.70 × 715,669,859.40
  4. Step 4: Simplify right side
    715,669,859.40x = 767,193,175,988,514,304
  5. Step 5: Solve for x
    x = 767,193,175,988,514,304/715,669,859.40
  6. Step 6: Final answer
    x = 1,071,993,134.70

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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.