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Finding the Fourth Proportional to 418,626,519.84, 627,891,947.64 and 111,942,547.56

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Solution

The fourth proportional to 418,626,519.84, 627,891,947.64 and 111,942,547.56 is: 167,901,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,626,519.84 : 627,891,947.64 = 111,942,547.56 : x
  2. Step 2: Convert to fraction form
    418,626,519.84/627,891,947.64 = 111,942,547.56/x
  3. Step 3: Cross multiply
    418,626,519.84x = 627,891,947.64 × 111,942,547.56
  4. Step 4: Simplify right side
    418,626,519.84x = 70,287,824,211,231,728
  5. Step 5: Solve for x
    x = 70,287,824,211,231,728/418,626,519.84
  6. Step 6: Final answer
    x = 167,901,030.82

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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.