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Finding the Fourth Proportional to 1,424,952,497.70, 2,137,428,746.55 and 1,424,952,497.70

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Solution

The fourth proportional to 1,424,952,497.70, 2,137,428,746.55 and 1,424,952,497.70 is: 2,137,428,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,952,497.70 : 2,137,428,746.55 = 1,424,952,497.70 : x
  2. Step 2: Convert to fraction form
    1,424,952,497.70/2,137,428,746.55 = 1,424,952,497.70/x
  3. Step 3: Cross multiply
    1,424,952,497.70x = 2,137,428,746.55 × 1,424,952,497.70
  4. Step 4: Simplify right side
    1,424,952,497.70x = 3,045,734,431,052,203,008
  5. Step 5: Solve for x
    x = 3,045,734,431,052,203,008/1,424,952,497.70
  6. Step 6: Final answer
    x = 2,137,428,746.55

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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.