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Finding the Fourth Proportional to 670,464,046.20, 1,005,696,069.30 and 670,464,046.20

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Solution

The fourth proportional to 670,464,046.20, 1,005,696,069.30 and 670,464,046.20 is: 1,005,696,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,464,046.20 : 1,005,696,069.30 = 670,464,046.20 : x
  2. Step 2: Convert to fraction form
    670,464,046.20/1,005,696,069.30 = 670,464,046.20/x
  3. Step 3: Cross multiply
    670,464,046.20x = 1,005,696,069.30 × 670,464,046.20
  4. Step 4: Simplify right side
    670,464,046.20x = 674,283,055,870,313,600
  5. Step 5: Solve for x
    x = 674,283,055,870,313,600/670,464,046.20
  6. Step 6: Final answer
    x = 1,005,696,069.30

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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.