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Finding the Fourth Proportional to 464,804,969.55, 697,207,454.33 and 464,804,969.55

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Solution

The fourth proportional to 464,804,969.55, 697,207,454.33 and 464,804,969.55 is: 697,207,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,804,969.55 : 697,207,454.33 = 464,804,969.55 : x
  2. Step 2: Convert to fraction form
    464,804,969.55/697,207,454.33 = 464,804,969.55/x
  3. Step 3: Cross multiply
    464,804,969.55x = 697,207,454.33 × 464,804,969.55
  4. Step 4: Simplify right side
    464,804,969.55x = 324,065,489,579,888,704
  5. Step 5: Solve for x
    x = 324,065,489,579,888,704/464,804,969.55
  6. Step 6: Final answer
    x = 697,207,454.33

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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.