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Finding the Fourth Proportional to 1,772,928,140.80, 2,486,180,864 and 1,772,928,140.80

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Solution

The fourth proportional to 1,772,928,140.80, 2,486,180,864 and 1,772,928,140.80 is: 2,486,180,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,928,140.80 : 2,486,180,864 = 1,772,928,140.80 : x
  2. Step 2: Convert to fraction form
    1,772,928,140.80/2,486,180,864 = 1,772,928,140.80/x
  3. Step 3: Cross multiply
    1,772,928,140.80x = 2,486,180,864 × 1,772,928,140.80
  4. Step 4: Simplify right side
    1,772,928,140.80x = 4,407,820,016,904,057,344
  5. Step 5: Solve for x
    x = 4,407,820,016,904,057,344/1,772,928,140.80
  6. Step 6: Final answer
    x = 2,486,180,864

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.