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Finding the Fourth Proportional to 1,275,264,044.49, 1,909,872,757.93 and 1,275,264,044.49

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Solution

The fourth proportional to 1,275,264,044.49, 1,909,872,757.93 and 1,275,264,044.49 is: 1,909,872,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,264,044.49 : 1,909,872,757.93 = 1,275,264,044.49 : x
  2. Step 2: Convert to fraction form
    1,275,264,044.49/1,909,872,757.93 = 1,275,264,044.49/x
  3. Step 3: Cross multiply
    1,275,264,044.49x = 1,909,872,757.93 × 1,275,264,044.49
  4. Step 4: Simplify right side
    1,275,264,044.49x = 2,435,592,057,739,082,752
  5. Step 5: Solve for x
    x = 2,435,592,057,739,082,752/1,275,264,044.49
  6. Step 6: Final answer
    x = 1,909,872,757.93

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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.