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Finding the Fourth Proportional to 850,176,010.30, 1,275,264,015.45 and 850,176,010.30

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Solution

The fourth proportional to 850,176,010.30, 1,275,264,015.45 and 850,176,010.30 is: 1,275,264,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,176,010.30 : 1,275,264,015.45 = 850,176,010.30 : x
  2. Step 2: Convert to fraction form
    850,176,010.30/1,275,264,015.45 = 850,176,010.30/x
  3. Step 3: Cross multiply
    850,176,010.30x = 1,275,264,015.45 × 850,176,010.30
  4. Step 4: Simplify right side
    850,176,010.30x = 1,084,198,872,734,438,528
  5. Step 5: Solve for x
    x = 1,084,198,872,734,438,528/850,176,010.30
  6. Step 6: Final answer
    x = 1,275,264,015.45

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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.