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Finding the Fourth Proportional to 576,574,848,007.80, 864,862,272,011.67 and 576,574,848,007.80

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Solution

The fourth proportional to 576,574,848,007.80, 864,862,272,011.67 and 576,574,848,007.80 is: 864,862,272,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,574,848,007.80 : 864,862,272,011.67 = 576,574,848,007.80 : x
  2. Step 2: Convert to fraction form
    576,574,848,007.80/864,862,272,011.67 = 576,574,848,007.80/x
  3. Step 3: Cross multiply
    576,574,848,007.80x = 864,862,272,011.67 × 576,574,848,007.80
  4. Step 4: Simplify right side
    576,574,848,007.80x = 498,657,833,032,809,309,011,968
  5. Step 5: Solve for x
    x = 498,657,833,032,809,309,011,968/576,574,848,007.80
  6. Step 6: Final answer
    x = 864,862,272,011.67

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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.