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Finding the Fourth Proportional to 536,237,866.80, 804,754,931.40 and 213,353,463.60

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Solution

The fourth proportional to 536,237,866.80, 804,754,931.40 and 213,353,463.60 is: 320,188,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,237,866.80 : 804,754,931.40 = 213,353,463.60 : x
  2. Step 2: Convert to fraction form
    536,237,866.80/804,754,931.40 = 213,353,463.60/x
  3. Step 3: Cross multiply
    536,237,866.80x = 804,754,931.40 × 213,353,463.60
  4. Step 4: Simplify right side
    536,237,866.80x = 171,697,251,963,370,400
  5. Step 5: Solve for x
    x = 171,697,251,963,370,400/536,237,866.80
  6. Step 6: Final answer
    x = 320,188,600.23

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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.