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Finding the Fourth Proportional to 849,834,002.70, 1,272,735,464.85 and 849,834,002.70

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Solution

The fourth proportional to 849,834,002.70, 1,272,735,464.85 and 849,834,002.70 is: 1,272,735,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,834,002.70 : 1,272,735,464.85 = 849,834,002.70 : x
  2. Step 2: Convert to fraction form
    849,834,002.70/1,272,735,464.85 = 849,834,002.70/x
  3. Step 3: Cross multiply
    849,834,002.70x = 1,272,735,464.85 × 849,834,002.70
  4. Step 4: Simplify right side
    849,834,002.70x = 1,081,613,874,471,720,576
  5. Step 5: Solve for x
    x = 1,081,613,874,471,720,576/849,834,002.70
  6. Step 6: Final answer
    x = 1,272,735,464.85

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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.