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Finding the Fourth Proportional to 691,122,865.10, 1,036,684,297.65 and 691,122,865.10

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Solution

The fourth proportional to 691,122,865.10, 1,036,684,297.65 and 691,122,865.10 is: 1,036,684,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,122,865.10 : 1,036,684,297.65 = 691,122,865.10 : x
  2. Step 2: Convert to fraction form
    691,122,865.10/1,036,684,297.65 = 691,122,865.10/x
  3. Step 3: Cross multiply
    691,122,865.10x = 1,036,684,297.65 × 691,122,865.10
  4. Step 4: Simplify right side
    691,122,865.10x = 716,476,221,996,049,152
  5. Step 5: Solve for x
    x = 716,476,221,996,049,152/691,122,865.10
  6. Step 6: Final answer
    x = 1,036,684,297.65

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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.